Question

Write the equation of the line that passes

through the points (-2, 5) and (6, 1).
Phase help I don’t know how to write the equation
:(

Answer 1

The slope is -1/2.

Explanation:

Slope formula:

`\displaystyle (y_2-y_1)/(x_2-x_1)`

`\displaystyle (1-5)/(6-(-2))=(-4)/(8)=(-4/4)/(8/4)=(-1)/(2)=-(1)/(2)`

Therefore, the slope is -1/2, and the correct answer is -1/2.

Hope this helps!

Answer 2

y = (1/2)x - 2

Explanation:

First we find the slope of this line.

As we move from (-2, 5) to (6, 1), x increases by 8 (this is the run) and y decreases by 4 (this is the rise). Thus, m = rise / run = 4/8, or m = 1/2.

Let's now find the equation. Start with y = mx + b and substitute the knowns (m = 1/2 and point (6, 1) ):

1 = (1/2)(6) + b, or 1 = 3 + b. Then b = -2, and y = (1/2)x - 2