Question
Write the following equation in slope intercept form. x = -4 y
A
y = 1/4 x
B
(-4y = x)
D
y = -1/4 x
A
y = 1/4 x
B
(-4y = x)
D
y = -1/4 x
Answers
GPT 3.5
The correct answer is D. y = -1/4 x.
Which of the following is not a function?
A
y is x.
B
y is 5 more than x.
C
y is either 2 more or less than x.
D
y is always 5 times x.
A
y is x.
B
y is 5 more than x.
C
y is either 2 more or less than x.
D
y is always 5 times x.
GPT 3.5
C is not a function because it does not have a single, unique output for every input. In C, for a given x value there are two possible y values (2 more and 2 less than x). A function must have exactly one output for every input.
y = x
y = x + 3
y = x^2 + 3
y = 3x + 3
y = x^3 - 6
How many of the given equations have a graph of a straight line?
y = x + 3
y = x^2 + 3
y = 3x + 3
y = x^3 - 6
How many of the given equations have a graph of a straight line?
GPT 3.5
Two of the given equations have a graph of a straight line: y = x and y = 3x + 3.
y = x
y = x + 3
y = x^2 + 3
y = 3x + 3
y = x^3 - 6
How many of the given equations have a graph of a straight line?
A
Four
C
Five
D
Three
y = x + 3
y = x^2 + 3
y = 3x + 3
y = x^3 - 6
How many of the given equations have a graph of a straight line?
A
Four
C
Five
D
Three
GPT 3.5
The correct answer is A. Four of the given equations have a graph of a straight line.
What is the slope of the line that passes through (5, 8) and (9, 5)?
a. 3/4
b. 2
c. -4/3
d. -3/4
a. 3/4
b. 2
c. -4/3
d. -3/4
GPT 3.5
To find the slope of a line passing through two points, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (5, 8) and (9, 5), we can substitute the values into the formula:
slope = (5 - 8) / (9 - 5)
= -3 / 4
Therefore, the slope of the line is -3/4.
The correct answer is d. -3/4.
slope = (y2 - y1) / (x2 - x1)
Using the points (5, 8) and (9, 5), we can substitute the values into the formula:
slope = (5 - 8) / (9 - 5)
= -3 / 4
Therefore, the slope of the line is -3/4.
The correct answer is d. -3/4.
what is the slope of (-2, -1) and (4,3)?
GPT 3.5
To find the slope of a line passing through two points, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (-2, -1) and (4, 3), we can substitute the values into the formula:
slope = (3 - (-1)) / (4 - (-2))
= 4 / 6
= 2 / 3
Therefore, the slope of the line passing through the points (-2, -1) and (4, 3) is 2/3.
The correct answer is not listed.
slope = (y2 - y1) / (x2 - x1)
Using the points (-2, -1) and (4, 3), we can substitute the values into the formula:
slope = (3 - (-1)) / (4 - (-2))
= 4 / 6
= 2 / 3
Therefore, the slope of the line passing through the points (-2, -1) and (4, 3) is 2/3.
The correct answer is not listed.
Find the slope of the line that passes through (6, 5) and (4, 8).
GPT 3.5
To find the slope of a line passing through two points, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (6, 5) and (4, 8), we can substitute the values into the formula:
slope = (8 - 5) / (4 - 6)
= 3 / (-2)
= -3/2
Therefore, the slope of the line passing through the points (6, 5) and (4, 8) is -3/2.
The correct answer is not listed.
slope = (y2 - y1) / (x2 - x1)
Using the points (6, 5) and (4, 8), we can substitute the values into the formula:
slope = (8 - 5) / (4 - 6)
= 3 / (-2)
= -3/2
Therefore, the slope of the line passing through the points (6, 5) and (4, 8) is -3/2.
The correct answer is not listed.
What is the slope of a line that has points at (1,6) and (3,-4)
GPT 3.5
To find the slope of a line passing through two points, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (1, 6) and (3, -4), we can substitute the values into the formula:
slope = (-4 - 6) / (3 - 1)
= -10 / 2
= -5
Therefore, the slope of the line passing through the points (1, 6) and (3, -4) is -5.
The correct answer is not listed.
slope = (y2 - y1) / (x2 - x1)
Using the points (1, 6) and (3, -4), we can substitute the values into the formula:
slope = (-4 - 6) / (3 - 1)
= -10 / 2
= -5
Therefore, the slope of the line passing through the points (1, 6) and (3, -4) is -5.
The correct answer is not listed.
Which graph shows a line with a slope of (2,3) passing through (2,2).
GPT 3.5
Apologies for the confusion, but I'm afraid the slope you've provided, (2,3), is not a valid representation of a slope. The slope of a line is typically expressed as a single number or fraction, not as a coordinate pair.
If you can provide the correct slope value, I would be happy to help you identify the graph that shows a line passing through (2,2) with that specific slope.
If you can provide the correct slope value, I would be happy to help you identify the graph that shows a line passing through (2,2) with that specific slope.
Find the slope of the line that passes through (5, 8) and (10, 10).
GPT 3.5
To find the slope of a line passing through two points, we use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (5, 8) and (10, 10), we can substitute the values into the formula:
slope = (10 - 8) / (10 - 5)
= 2 / 5
Therefore, the slope of the line passing through the points (5, 8) and (10, 10) is 2/5.
slope = (y2 - y1) / (x2 - x1)
Using the points (5, 8) and (10, 10), we can substitute the values into the formula:
slope = (10 - 8) / (10 - 5)
= 2 / 5
Therefore, the slope of the line passing through the points (5, 8) and (10, 10) is 2/5.
What is the slope of a line that has points (4,5) and (8,7)?
GPT 3.5
To find the slope of a line passing through two points, we use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (4, 5) and (8, 7), we can substitute the values into the formula:
slope = (7 - 5) / (8 - 4)
= 2 / 4
= 1/2
Therefore, the slope of the line passing through the points (4, 5) and (8, 7) is 1/2.
slope = (y2 - y1) / (x2 - x1)
Using the points (4, 5) and (8, 7), we can substitute the values into the formula:
slope = (7 - 5) / (8 - 4)
= 2 / 4
= 1/2
Therefore, the slope of the line passing through the points (4, 5) and (8, 7) is 1/2.
What is the slope of the line that passes through (7, 3) and (4, 2).
GPT 3.5
To find the slope of a line passing through two points, we use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (7, 3) and (4, 2), we can substitute the values into the formula:
slope = (2 - 3) / (4 - 7)
= -1 / -3
= 1/3
Therefore, the slope of the line passing through the points (7, 3) and (4, 2) is 1/3.
slope = (y2 - y1) / (x2 - x1)
Using the points (7, 3) and (4, 2), we can substitute the values into the formula:
slope = (2 - 3) / (4 - 7)
= -1 / -3
= 1/3
Therefore, the slope of the line passing through the points (7, 3) and (4, 2) is 1/3.
Find the slope of the line that passes through (4, 3) and (1, 4).
GPT 3.5
To find the slope of a line passing through two points, we use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (4, 3) and (1, 4), we can substitute the values into the formula:
slope = (4 - 3) / (1 - 4)
= 1 / (-3)
= -1/3
Therefore, the slope of the line passing through the points (4, 3) and (1, 4) is -1/3.
slope = (y2 - y1) / (x2 - x1)
Using the points (4, 3) and (1, 4), we can substitute the values into the formula:
slope = (4 - 3) / (1 - 4)
= 1 / (-3)
= -1/3
Therefore, the slope of the line passing through the points (4, 3) and (1, 4) is -1/3.
Find the slope of a line that passes through ( 17,-21), (9,11).
GPT 3.5
To find the slope of a line passing through two points, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (17, -21) and (9, 11), we can substitute the values into the formula:
slope = (11 - (-21)) / (9 - 17)
= (11 + 21) / (9 - 17)
= 32 / (-8)
= -4
Therefore, the slope of the line passing through the points (17, -21) and (9, 11) is -4.
slope = (y2 - y1) / (x2 - x1)
Using the points (17, -21) and (9, 11), we can substitute the values into the formula:
slope = (11 - (-21)) / (9 - 17)
= (11 + 21) / (9 - 17)
= 32 / (-8)
= -4
Therefore, the slope of the line passing through the points (17, -21) and (9, 11) is -4.
Find the slope of a line that passes through (2,9), (7,8).
GPT 3.5
To find the slope of a line passing through two points, we use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (2, 9) and (7, 8), we can substitute the values into the formula:
slope = (8 - 9) / (7 - 2)
= -1 / 5
Therefore, the slope of the line passing through the points (2, 9) and (7, 8) is -1/5.
slope = (y2 - y1) / (x2 - x1)
Using the points (2, 9) and (7, 8), we can substitute the values into the formula:
slope = (8 - 9) / (7 - 2)
= -1 / 5
Therefore, the slope of the line passing through the points (2, 9) and (7, 8) is -1/5.
As a computer saleswoman, Diane receives a salary of $600 each month and earns a commission of 6% of her total monthly sales. Her monthly wage is represented by the equation W = 0.06s + 600, where W represents her wage, in dollars, and s represents her total monthly sales, in dollars.
If Diane were to receive a raise in commission to 8% of monthly sales, then which of the following would the graph that represents Diane’s monthly wage have?
If Diane were to receive a raise in commission to 8% of monthly sales, then which of the following would the graph that represents Diane’s monthly wage have?
GPT 3.5
If Diane were to receive a raise in commission to 8% of monthly sales, the new equation representing her monthly wage would be W = 0.08s + 600.
The change in commission only affects the coefficient of the commission percentage, which has increased from 0.06 to 0.08. Therefore, the new graph representing Diane's monthly wage would have a steeper slope compared to the previous graph.
The correct answer is: The graph would have a steeper slope.
The change in commission only affects the coefficient of the commission percentage, which has increased from 0.06 to 0.08. Therefore, the new graph representing Diane's monthly wage would have a steeper slope compared to the previous graph.
The correct answer is: The graph would have a steeper slope.