Question

what is the equation of the line on the graph?

Answer 1

Given the graph of the line and it is required to find the equation of the line.

As shown the line pass through the points ( 0 , 1080 ) and ( 6 , 810 )

Let the months = x and $ Owed = y

The general equation of the line in slope - intercept form is ;

$y=mx+b$

Where m is the slope and b is y-intercept

The slope = Rise/Run

Rise = 810 - 1080 = -270

Run = 6 - 0 = 6

so, the slope :

$m=\frac{-270}{6}=-45$

And y - intercept is the value of y when x = 0

so, when x = 0 , y = 1080

So,

$b=1080$

Therefore the equation of the line will be:

$y=-45x+1080$