y is 54 more than x, what equation represents the relationship described above?
A. y = x + 54
B. x = y + 54
C. y = x - 54
D. x = 54 - y
11 answers
A. y = x + 54
y is 35 more than x, what equation represents the relationship described above?
A. x = y + 35
B. y = x + 35
C. y = x - 35
D. x = 35 - y
A. x = y + 35
B. y = x + 35
C. y = x - 35
D. x = 35 - y
B. y = x + 35
What is the equation of a line that has a y-intercept of 1 and passes through the point (2,3 )
A. y = x + 1
B. y = x - 1
C. y = x + 2
D. y = x - 3
A. y = x + 1
B. y = x - 1
C. y = x + 2
D. y = x - 3
To find the equation of a line given a y-intercept and one additional point, we can first determine the slope of the line using the y-intercept and the given point, then use this information to find the equation of the line.
Given y-intercept (0, 1) and point (2, 3):
The slope of the line, m, is given by:
m = (y2 - y1) / (x2 - x1)
m = (3 - 1) / (2 - 0)
m = 2 / 2
m = 1
Now that we know the slope is 1, we can plug the values into the point-slope form of the equation of a line:
y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = x
Therefore, the equation of the line passing through the point (2, 3) with a y-intercept of 1 is:
A. y = x + 1
Given y-intercept (0, 1) and point (2, 3):
The slope of the line, m, is given by:
m = (y2 - y1) / (x2 - x1)
m = (3 - 1) / (2 - 0)
m = 2 / 2
m = 1
Now that we know the slope is 1, we can plug the values into the point-slope form of the equation of a line:
y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = x
Therefore, the equation of the line passing through the point (2, 3) with a y-intercept of 1 is:
A. y = x + 1
y is 8 more than x, what equation represents the relationship described above?
A. y = x + 8
B. y = x - 8
C. x = y + 8
D. x = 8 - y
A. y = x + 8
B. y = x - 8
C. x = y + 8
D. x = 8 - y
A. y = x + 8
A grocery store charges a fixed delivery fee of $5 for each home-delivery order. The equation given below represents the situation, where y represents the total amount charged for delivering the groceries, and x represents the cost of the groceries.
y = x + 5
What is the y-intercept of the relationship?
A. 5
B. x
C. x + 5
D. y - 5
y = x + 5
What is the y-intercept of the relationship?
A. 5
B. x
C. x + 5
D. y - 5
The y-intercept of an equation represents the value of y when x is equal to 0.
In the equation given:
y = x + 5
If we substitute x = 0 into the equation, we get:
y = 0 + 5
y = 5
Therefore, the y-intercept is 5.
So, the answer is:
A. 5
In the equation given:
y = x + 5
If we substitute x = 0 into the equation, we get:
y = 0 + 5
y = 5
Therefore, the y-intercept is 5.
So, the answer is:
A. 5
Michelle made a bead necklace with a length of 12 inches. The length of the necklace, in inches, is equal to 2 added to the quotient of the number of beads, b, and 7.
b ÷ 7 + 2 = 12
How many beads did she use?
A. 700
B. 46
C. 35
D. 70
b ÷ 7 + 2 = 12
How many beads did she use?
A. 700
B. 46
C. 35
D. 70
To solve for the number of beads, we can rewrite the equation given and solve for b:
b ÷ 7 + 2 = 12
b ÷ 7 = 12 - 2
b ÷ 7 = 10
b = 10 * 7
b = 70
Therefore, Michelle used 70 beads.
So, the correct answer is:
D. 70
b ÷ 7 + 2 = 12
b ÷ 7 = 12 - 2
b ÷ 7 = 10
b = 10 * 7
b = 70
Therefore, Michelle used 70 beads.
So, the correct answer is:
D. 70
1 answer