Question

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

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

Answer 1

`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`