Chapter 3: Q. 411 (page 354)

Find the intercepts of each equation.
$y = \frac{3}{4} x - 12$

Short Answer

Expert verified

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

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

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Find the intercepts of each equation.
$y = \frac{3}{4} x - 12$

Short Answer

Step by step solution

Given Information

Concept

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Find the intercepts of each equation.
$y = \frac{3}{4} x - 12$