Question

Use the intercepts from the graph below to determine the equation of the function.

A) 4x-3y=12
B) -4x-3y=12
C) 4x-3y=-12
D) -4x+3y=-12

Answer 1

C) 4x-3y=-12

Step-by-step explanation

The intercept form of a straight line is given by:

`(x)/(x - intercept) + (y)/(y - intercept) = 1`

From the the x-intercept is -3 and the y-intercept is 4.

This is because each box is one unit each.

We substitute the intercepts to get:

`(x)/( - 3) + (y)/(4) = 1`

We now multiply through by -12 to get

`- 12 * (x)/( - 3) + - 12 * (y)/(4) = 1 * - 12`

`4x - 3y = -12`

The correct choice is C.