Question

find the y - intercept and x - intercept of the line.
3x - 4y = 12
y - intercept:
x - intercept:

Explanation:

Step1: Find y - intercept

Set $x = 0$ in $3x-4y=12$.
$3\times0 - 4y=12$
$-4y=12$
$y=\frac{12}{-4}=- 3$

Step2: Find x - intercept

Set $y = 0$ in $3x-4y=12$.
$3x-4\times0 = 12$
$3x=12$
$x = 4$

Answer:

$y$-intercept: $-3$
$x$-intercept: $4$