Question

What is an equation of the line that passes through the points (6, -3) and
(-6, -5)?

Answer 1

6x+24

Explanation:

Rise over run and differences are 12 and 2 giving us a slope of 6.That is where the 6 comes from.

Now for the 24 that is the y-intercept which would be encountered at x = 0.

Now to get from -3 to zero, since the slope is 6 we add six to each y level so continuing from (6,-3) leading up. (12,-2) (18,-1) and finally to (24,0) which would be the y-intercept which explains the +24 as the constant

Answer 2

Slope: y2-y1/x2-x1

-5+3/-6-6 = 1/6

y+3 = 1/6 (x-6)

y+3 = 1/6x - 1

y=1/6x-4

Explanation: