Question

Write the equation of the line that passes through (2, 6) and (-2, 4).

Answer 1

y-6=1/2(x-2) or y=1/2x+5

Explanation:

First, let's find the slope of the line.

Slope is y2-y1/x2-x1 or rise/run

Let's label (2,6) and (-2,4)

x1=2

y1=6

x2=-2

y2=4

now plug in the numbers

4-6/-2-2 = -2/-4=1/2

now, let's make it a line

Point slope form is y-y1=m(x-x1) (m is slope)

Plug the points in

y-6=1/2(x-2)

of course, you could always simplify it to y=1/2x+5 (y=mx+b) format if you want.

Hope this helps!