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

ANSWER

C) 4x-3y=-12

EXPLANATION

The intercept form of a straight line is given by:

$\frac{x}{x - intercept} + \frac{y}{y - intercept} = 1$

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:

$\frac{x}{ - 3} + \frac{y}{4} = 1$

We now multiply through by -12 to get

$- 12 \times \frac{x}{ - 3} + - 12 \times \frac{y}{4} = 1 \times - 12$

$4x - 3y = -12$

The correct choice is C.