Question

What is an equation in point-slope form of the line that passes through (1, -6) and (4, 6)?

Answer 1

Answer:

See below.

Step-by-step explanation:

The point=slope form is: $y-y_{1}=m(x-x_{1})$, where $m$ is the slope.

First, find the slope using to two given points.

$m=\frac{\Delta y}{\Delta x} =\frac{6-(-6)}{4-1} =\frac{12}{3}=4$

We can now plug in the numbers. You can pick any of the two points to use.

Version 1:

$y-(-6)=4(x-(1))$

$y+6=4(x-1)$

Version 2:

$y-(6)=4(x-4)$

$y-6=4(x-4)$

If desired, you can simplify this further.