To determine the slope of the line, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Given Point A (1, -2) and Point B (6, 1), you can plug in the values:
slope = (1 - (-2)) / (6 - 1)
slope = (1 + 2) / 5
slope = 3 / 5
Therefore, the slope of the line is 3/5.
The correct answer is: Start Fraction 3 over 5 End Fraction
Writing Linear Equations in Slope-Intercept Form Quick Check
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Question
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes extend from negative 10 to 10 in increments of 1. Two points are plotted on the graph. An upward slanting line connects the two points. Point A is plotted at coordinates left parenthesis 1 comma negative 2 right parenthesis. Point B is plotted at left parenthesis 6 comma 1 right parenthesis.
Determine the slope of the line.
(1 point)
Responses
−35
negative Start Fraction 3 over 5 End Fraction
−53
negative Start Fraction 5 over 3 End Fraction
35
Start Fraction 3 over 5 End Fraction
53
Start Fraction 5 over 3 End Fraction
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5 answers
Use the table to answer the question.
x y
−2 1
2 2
10 4
Determine the slope of the line.
(1 point)
Responses
14
Start Fraction 1 over 4 End Fraction
−4
negative 4
−14
negative Start Fraction 1 over 4 End Fraction
4
x y
−2 1
2 2
10 4
Determine the slope of the line.
(1 point)
Responses
14
Start Fraction 1 over 4 End Fraction
−4
negative 4
−14
negative Start Fraction 1 over 4 End Fraction
4
To determine the slope of the line, you can choose any two points from the table and use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's use the points (2, 2) and (10, 4):
slope = (4 - 2) / (10 - 2)
slope = 2 / 8
slope = 1 / 4
Therefore, the slope of the line is 1/4.
The correct answer is: Start Fraction 1 over 4 End Fraction
slope = (y2 - y1) / (x2 - x1)
Let's use the points (2, 2) and (10, 4):
slope = (4 - 2) / (10 - 2)
slope = 2 / 8
slope = 1 / 4
Therefore, the slope of the line is 1/4.
The correct answer is: Start Fraction 1 over 4 End Fraction
Use the image to answer the question.
A coordinate plane of 4 quadrants shows x and y axes ranging from negative 3 to 3 in increments of 1. A line with arrows at each end intercepts two plotted points, A and B. Point A is plotted at left parenthesis negative 2 comma 0 right parenthesis. Point B is plotted at left parenthesis 0 comma negative 1 right parenthesis. The coordinates are not labeled.
Which of the following is the equation of the line on the graph?
(1 point)
Responses
y=12x−1
y equals Start Fraction 1 over 2 End Fraction x minus 1
y=−2x−1
y equals negative 2 x minus 1
y=−12x−2
y equals negative Start Fraction 1 over 2 End Fraction x minus 2
y=−12x−1
A coordinate plane of 4 quadrants shows x and y axes ranging from negative 3 to 3 in increments of 1. A line with arrows at each end intercepts two plotted points, A and B. Point A is plotted at left parenthesis negative 2 comma 0 right parenthesis. Point B is plotted at left parenthesis 0 comma negative 1 right parenthesis. The coordinates are not labeled.
Which of the following is the equation of the line on the graph?
(1 point)
Responses
y=12x−1
y equals Start Fraction 1 over 2 End Fraction x minus 1
y=−2x−1
y equals negative 2 x minus 1
y=−12x−2
y equals negative Start Fraction 1 over 2 End Fraction x minus 2
y=−12x−1
To find the equation of the line passing through points A (-2, 0) and B (0, -1), let's first calculate the slope, which is given by:
slope = (y2 - y1) / (x2 - x1)
For points A and B:
slope = (-1 - 0) / (0 - (-2))
slope = -1 / 2
So, the slope m is -1/2.
To find the y-intercept (b), plug one of the points (let's use B: (0, -1)) and the slope (-1/2) into the slope-intercept form equation y = mx + b:
-1 = (-1/2)(0) + b
-1 = b
Therefore, the equation of the line passing through points A and B is:
y = -1/2 x - 1
The correct answer is: y = -1/2 x - 1
slope = (y2 - y1) / (x2 - x1)
For points A and B:
slope = (-1 - 0) / (0 - (-2))
slope = -1 / 2
So, the slope m is -1/2.
To find the y-intercept (b), plug one of the points (let's use B: (0, -1)) and the slope (-1/2) into the slope-intercept form equation y = mx + b:
-1 = (-1/2)(0) + b
-1 = b
Therefore, the equation of the line passing through points A and B is:
y = -1/2 x - 1
The correct answer is: y = -1/2 x - 1
1 answer