Question

A graph is shown below: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, and 10. The values on the y axis are 0, 4, 8, 12, 16, and 20. Points are shown on ordered pairs 0, 16 and 2, 12 and 4, 8 and 6, 4 and 8, 0. These points are connected by a line. What is the equation of the line in slope-intercept form?

Answer 1

Graph is image, and equation is from the work result below:

Explanation:

Take two points find the slope and y-intercept:

Slope = -2

Y-intercept = (0,16)

Equation =

y = − 2 x + 16

check work for one point (to make sure equation works):

(2,12)

y = -2x + 16

12 = -2(2) + 16

12 = -4 + 16

12 = 12

The equation is correct: y = − 2 x + 16

Image below are the points given: