Question

the equation of a line is given below.
x - 4y = 8
(a) find the x-intercept and the y-intercept.
x-intercept:
y-intercept:

Explanation:

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

Substitute \( y = 0 \) into \( x - 4y = 8 \):
\( x - 4(0) = 8 \)
\( x = 8 \)

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

Substitute \( x = 0 \) into \( x - 4y = 8 \):
\( 0 - 4y = 8 \)
\( -4y = 8 \)
Divide by -4: \( y = \frac{8}{-4} = -2 \)

Answer:

x-intercept: \( 8 \)
y-intercept: \( -2 \)