A graph of a line has an x-intercept of -8and a y-intercept of 4. Write the equation that represents these points in standard form.

Answer 1

Two points are given: (-8, 0) and (0, 4).

Use two point form

(y - 0) / (x - 0) = (4 - 0) / (0 + 8)

Can you combine and put into standard form?

Answer 2

The equation for a line is y=mx+b.

Step 1.

Find the slope (m) using the intercepts.

m = y2 - y1 = 4 - 0 = 4 = 1

x2 - x1 0 - (-8) 8 2

Step 2.

Identify the y-intercept. This is provided as 4

Step 3.

Combine the constants and variables together to form the equation of the line

y = 1x + 4

2