Question

Find the intercepts of each equation.

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

Short answer

The x- and y- intercept is $16$ and $-12$respectively.

Step-by-step solution

Given Information

The equation of a line for which the x- and y- intercept has to be determined is

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

Concept

The X- and Y- intercept of a line is the x and y coordinates, respectively, of the points where the line intersects the x-axis and y-axis respectively.

Calculation

For x- intercept

Put $y=0$in the given equation, we get

$\begin{array}{rcl}0& =& \frac{3}{4}x-12\\ \frac{3}{4}x& =& 12\\ x& =& 16\end{array}$

For y- intercept

Put $x=0$in the given equation, we get

$\begin{array}{rcl}y& =& 0-12\\ y& =& -12\end{array}$