Find an equation of the line that goes through the points (8,-45) and (2,-9). Write your answer in the form y = mx + b.

Linear equations are commonly organized in slope-intercept form:

To find the equation of a line given two points:

We're given:

First, determine the slope using the following formula:

where the given points are and

⇒ Plug in the given points (8,-45) and (2,-9):

Therefore, the slope of the line is -6. Plug this into as m:

Now, determine the y-intercept:

⇒ Plug in one of the given points as (x,y) and solve for b:

Therefore the y-intercept of the line is 3. Plug this back into :