Question

Graph the line that passes through the points (3, -5)(3,−5) and (-1, -9)(−1,−9) and determine the equation of the line.

Answer 1

`y=x-8` or
`y+5=x-3`

Explanation:

To write an equation finding the equation of a line you can use y-y1=m(x-x1)

Step 1: Find the slope using slope formula
`(y_(2) -y_(1))/(x_(2) -x_(1))`

`(-9 -(-5))/(-1 -3)=(-4)/(-4) =1`

Step 2: Plug in numbers to Point Slope Form.

`y-(-5)=1(x-3)=y+5=x-3`

Step 3: Depending on what your teacher prefers you can also change it into slope-intercept form

`y=x-8`