Question

10. The graph of a linear function that passes through the points (-2, 1) and (8, 6) is shown.

Y
What is the y-intercept of the graph of the linear function?

Answer 1

(0,2)

This is extra, but the function would be y = 0.5x + 2.

Explanation:

The y-intercept is simply where the function intersects the y-axis. In this, case it's intersecting at (0,2) so that is the answer.

To find the equation for this:

y2 - y1/x2 - x1

6 - 1/8 - (-2)

6 - 1/8 + 2

5/10 = 0.5

y = 0.5x + b

6 = 0.5(8) + b

6 = 4 + b

6-4 = (4-4) + b

2 = b

With that, the equation becomes y = 0.5x + 2