Question

Use point slope form to write the equation of the lines that go through the given points in slope intercept form. 1. (-1,-3) and (1,5) 2. (-4,2) and (8,-1)

Answer 1

Given the points (-1 , -3) and ( 1 , 5 )

We need to find the point slope form of the line passing through the given points

The slope will be calculated as following:

Slope = Rise/Run

Rise = 5 - (-3) = 5 + 3 = 8

Run = 1 - (-1) = 1 + 1 = 2

so, the slope is :

`\text{Slope}=(8)/(2)=4`

Using the point (1,5) to write the equation.

So, the equation of the line will be:

`(y-5)=4(x-1)`