Question

plot the intercepts to graph the equation.
x + 4y = 4
use the graphing tool to graph the equation. use the intercepts when drawing the line. if only one intercept exists, use it and another point to draw the line.
click to enlarge graph

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( x + 4y = 4 \):
\( x + 4(0) = 4 \)
\( x = 4 \)
So x-intercept is \( (4, 0) \).

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( x + 4y = 4 \):
\( 0 + 4y = 4 \)
\( y = \frac{4}{4} = 1 \)
So y-intercept is \( (0, 1) \).

Step3: Graph the line

Plot the points \( (4, 0) \) (x-intercept) and \( (0, 1) \) (y-intercept), then draw a straight line through them.

Answer:

To graph \( x + 4y = 4 \), plot the x - intercept \( (4, 0) \) and y - intercept \( (0, 1) \), then draw a line through these two points.