The graph of a function is a straight line with a slope of 2 and a y -intercept of 7. What is the equation of the function? Write your answer in y=mx+b form.

Question

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Answer 1

The equation of the function is y = 2x + 7.

Answer 2

The equation of a function is y = -7x - 12. If this function were graphed, what would its slope be?
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Answer 3

The slope of the function y = -7x - 12 is -7.

Answer 4

x 11, 20
y 58, 103
Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y = mx + b form.
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Answer 5

To find the equation of the linear function that models the relationship shown in the table, we first need to calculate the slope (m) using the two points given (11, 58) and (20, 103).

m = (y2 - y1) / (x2 - x1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5

Now that we have the slope, we can use one of the points to find the y-intercept (b). Let's use point (11, 58).

y = mx + b
58 = 5(11) + b
58 = 55 + b
b = 58 - 55
b = 3

Therefore, the equation of the linear function is y = 5x + 3.

Answer 6

(-3,-1) (2,4)
Write the equation of the linear function shown on the graph. Enter your answer in y = mx + b form
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Answer 7

To find the equation of the linear function that passes through the points (-3, -1) and (2, 4), we first need to calculate the slope (m) using the two points.

m = (y2 - y1) / (x2 - x1)
m = (4 - (-1)) / (2 - (-3))
m = 5 / 5
m = 1

Now that we have the slope, we can use one of the points to find the y-intercept (b). Let's use point (-3, -1).

y = mx + b
-1 = 1(-3) + b
-1 = -3 + b
b = -1 + 3
b = 2

Therefore, the equation of the linear function is y = x + 2.