Question

A graph is shown below:

A graph is shown. The values on the x axis are 0, 4, 8, 12, 16, and 20. The values on the y axis are 0, 16, 32, 48, 64, and 80. Points are shown on ordered pairs 0, 64 and 4, 48 and 8, 32 and 12, 16 and 16, 0. These points are connected by a line.
What is the equation of the line in slope-intercept form? (5 points)


A: y = −4x + 64

B: y = 64x − 4

C: y = −4x + 16

D: y = −16x + 4

Answer 1

The correct answer is A: y = −4x + 64

To find the equation of the line in slope-intercept form, we need to determine the slope and the y-intercept of the line.

To find the slope, we use the formula:
m = (y2 - y1) / (x2 - x1)
m = (16 - 64) / (12 - 0)
m = -48 / 12
m = -4

Now that we have the slope, we can use one of the points (0, 64) to find the y-intercept (b).

y = mx + b
64 = -4(0) + b
64 = b

Therefore, the equation of the line in slope-intercept form is:
y = -4x + 64