Question

Consider the graph below.

10px
4
2
-10
-4
-2
8
10
0 2
4
What is the equation of the line in slope-intercept form?
A y=x+8
By=2 - 8
y = 8x + 8
Dy = 8x - 8

Answer 1

B. y = x - 8

Explanation:

✔️First, find the slope of the line using two points on the line, say (0, -8) and (8, 0):

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (0 - (-8))/(8 - 0) = (8)/(8) = 1`

slope (m) = 1

✔️Find the y-intercept (b):

The y-intercept is -8. The line intercepts the y-axis at y = -8.

b = -8

✔️Next, substitute m = 1, and b = -8 into y = mx + b:

Thus:

y = (1)x + (-8)

y = x - 8