Question

topic 4: x and y-intercepts

1. $4x - y = 4$
2. $12x - 8y = 24$

Explanation:

Step1: Find x-intercept for #14 (set y=0)

Set $y=0$ in $4x - y = 4$:
$4x - 0 = 4$
$x = \frac{4}{4} = 1$

Step2: Find y-intercept for #14 (set x=0)

Set $x=0$ in $4x - y = 4$:
$4(0) - y = 4$
$-y = 4 \implies y = -4$

Step3: Find x-intercept for #15 (set y=0)

Set $y=0$ in $12x - 8y = 24$:
$12x - 8(0) = 24$
$x = \frac{24}{12} = 2$

Step4: Find y-intercept for #15 (set x=0)

Set $x=0$ in $12x - 8y = 24$:
$12(0) - 8y = 24$
$-8y = 24 \implies y = \frac{24}{-8} = -3$

Answer:

1. x-intercept: $(1, 0)$; y-intercept: $(0, -4)$
2. x-intercept: $(2, 0)$; y-intercept: $(0, -3)$