Answer:
[tex]y=x-8[/tex] or [tex]y+5=x-3[/tex]
Step-by-step 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 [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
[tex]\frac{-9 -(-5)}{-1 -3}=\frac{-4}{-4} =1[/tex]
Step 2: Plug in numbers to Point Slope Form.
[tex]y-(-5)=1(x-3)=y+5=x-3[/tex]
Step 3: Depending on what your teacher prefers you can also change it into slope-intercept form
[tex]y=x-8[/tex]
