Question

Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answer 1

First the slope must be found.

The graph goes from (0,300) to (450,0), so the slope is falling by 300 every 450 units

numerically, the slope is


`( - 300)/(450 )`

which simplifies to


`( - 2)/(3)`

the y intercept is visible on the graph as 300, so now we plug in what we know to slope intercept form

y = (slope) x + y-intercept


`y = ( - 2)/(3) x + 300`