Question

find the intercepts of the line.
y = -2x + 4
answer
the x - intercept is (□, □)
the y - intercept is (□, □)

Explanation:

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

Set $y=0$ in $y=-2x+4$:
$0=-2x+4$

Step2: Solve for x

Rearrange to solve for $x$:
$2x=4 \implies x=\frac{4}{2}=2$
So x-intercept is $(2, 0)$

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

Set $x=0$ in $y=-2x+4$:
$y=-2(0)+4$

Step4: Solve for y

Calculate the value:
$y=0+4=4$
So y-intercept is $(0, 4)$

Answer:

The x - intercept is $(2, 0)$
The y - intercept is $(0, 4)$