Question

How do you write an equation of a line with points (-7,-3), (-3,5)?

Answer 1

`y = 2x + 11`

Explanation:

Put the equation in the `y = mx + b` form .

Find the slope of the equation by solving for

`m = ( y_1- y_2)/(x_1- x_2)`

Substituting the points for y and x gives

`m = (-3 -5)/( -7 - (-3)`= `-8/-4 = 2`

The slope: `m = 2`

Putting `2` in for `m` and the values for `(x, y)` gives

`5 = 2(-3) + b` This results

# 5 = -6 + b add six to both sides

`5+ 6 = -6 +6 + b`

`11 = b`

So the equation is `y = 2x + 11`