Question

graph this line using intercepts:
5x + 4y = 40
click to select points on the graph.

Explanation:

Step1: Find x-intercept (y=0)

Set \( y = 0 \) in \( 5x + 4y = 40 \).
\( 5x + 4(0) = 40 \)
\( 5x = 40 \)
\( x = \frac{40}{5} = 8 \).
So x-intercept is \( (8, 0) \).

Step2: Find y-intercept (x=0)

Set \( x = 0 \) in \( 5x + 4y = 40 \).
\( 5(0) + 4y = 40 \)
\( 4y = 40 \)
\( y = \frac{40}{4} = 10 \).
So y-intercept is \( (0, 10) \).

To graph, plot \( (8, 0) \) (on x-axis) and \( (0, 10) \) (on y-axis), then draw a line through them.

Answer:

The x-intercept is \( (8, 0) \) and y-intercept is \( (0, 10) \). Plot these points and draw the line.