Question

1. $3x - 6y = 24$

x-intercept:
y-intercept:

Explanation:

Step1: Find x-intercept, set y=0

$3x - 6(0) = 24$
$3x = 24$
$x = \frac{24}{3} = 8$

Step2: Find y-intercept, set x=0

$3(0) - 6y = 24$
$-6y = 24$
$y = \frac{24}{-6} = -4$

Answer:

x-intercept: $(8, 0)$
y-intercept: $(0, -4)$

(To graph the line, plot the two intercept points and draw a straight line connecting them across the coordinate grid.)