Question

2-1:

Write the equation of the line passing through the points (-4,8) and (4,2).
The equation of the line is.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

Answer 1

Answer is y = -3/4x + 5

Step by step

First we find slope with
Equation y2 - y1 over x2 - x1

2 - 8 over 4 - -4

-6 over 8 or simplified -3/4

Now for slope intercept form

y - y1 = m (x - x1)

We will use (4,2)

y - 2 = -3/4 (x - 4)

Distribute

y - 2 = -3/4x + 3

Add 2 to both sides to isolate y

y - 2 + 2 = -3/4x + 3 + 2

y = -3/4x + 5