Find a general form equation for the line through the pair of points?

(-7,-2) and (1,6)

1 Answer
Jun 15, 2018

y=x+5

Explanation:

The general form of a line is y=kx+m where k,m are real numbers.

To find k which is how steep the line is. We'll use the formula k={y_2-y_1}/{x_2-x_1}.

(-7, -2), (1,6)

Plug these values into the formula. Note how the first number in the parentheses represents the x value and the second y.

k={6-(-2)}/{1-(-7)}={6+2}/{1+7}=8/8=1

Insert k into y

y=1*x+m

Finally, use one of the points to find m, by inserting the (x,y) pair into y. I'll use the second as i think its eaiser.

6=1*(1)+m=>m=5

Therefore, y=x+5