Write the equation in slope-intercept form of the line that passes through the given points. (-4,8) and (4,6)?

Question

I need help! Please im so stuck on this problem.

Answer 1

Slope intercept form looks like this:

y = mx + b, where m is the slope of the line and b is the y-intercept.

To find slope you use the formula:

(y₂ - y₁) / (x₂ - x₁) = (6 - 8) / (4 - (-4)) = -1/4

Now that we know the slope, plug it in to the slope-intercept equation.

y = (-1/4)x + b

Now to find b, you plug in a point into the slope-intercept equation. We'll plug in the point (4,6).

So plug in 4 for x and 6 for y

6 = (-1/4)(4) + b

Solve for b

6 = -1 + b

b = 7

So m was -1/4 and b was 7. Therefore the equation of the line is y = (-1/4)x + 7