Question

Write the equation of a line that passes through the points (6,8) and (-2,4) in slope-intercept form.

Answer 1

Answer:

$y=\frac{1}{2}x+5$

Step-by-step explanation:

We are given the points (6,8) and (-2,4).

Find the slope:

$m=\frac{4-8}{-2-6}=\frac{-4}{-8}=\boxed{\frac{1}{2}}$

Using a point and the slope, create a point-slope form equation and convert it into slope-intercept.

$y-8=\frac{1}{2}(x-6)\\\\y-8= \frac{1}{2}x-3\\\\y-8+8=\frac{1}{2}x-3+8\\\\\boxed{y=\frac{1}{2}x+5}$

Hope this helps!