Problem

The equation of a line is given below.
x+4y=8
Find the x-intercept and the y-intercept. Then use them to graph the line.
Continue

Answer

Expert–verified
Hide Steps
Answer

The x-intercept of the line is -8 and the y-intercept is 2.

Steps

Step 1 :The equation of the line is given by x+4y=8.

Step 2 :First, we find the x-intercept by setting y = 0 in the equation. This gives us x+4(0)=8, which simplifies to x=8. Solving for x, we get x=8.

Step 3 :Next, we find the y-intercept by setting x = 0 in the equation. This gives us 0+4y=8, which simplifies to 4y=8. Solving for y, we get y=2.

Step 4 :Thus, the x-intercept of the line is 8 and the y-intercept is 2.

Step 5 :We can now plot the line using these intercepts. The line crosses the x-axis at 8 and the y-axis at 2.

Step 6 :The x-intercept of the line is -8 and the y-intercept is 2.

link_gpt