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

Answer:

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

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 $\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

$\frac{-9 -(-5)}{-1 -3}=\frac{-4}{-4} =1$

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

$y=x-8$