Question

the equation of a line is given below.
x - 4y = 4
(a) find the x-intercept and the y-intercept.
x-intercept:
y-intercept:
(b) use the intercepts to graph the line.

Explanation:

Step1: Find x-intercept, set $y=0$

Substitute $y=0$ into $x-4y=4$:
$x - 4(0) = 4$
$x = 4$

Step2: Find y-intercept, set $x=0$

Substitute $x=0$ into $x-4y=4$:
$0 - 4y = 4$
$y = \frac{4}{-4} = -1$

Step3: Graph using intercepts

Plot the x-intercept point $(4, 0)$ and y-intercept point $(0, -1)$, then draw a straight line through these two points.

Answer:

(a)
x-intercept: $4$
y-intercept: $-1$
(b)
Graph: Plot points $(4, 0)$ and $(0, -1)$, then connect them with a straight line.