Question

The equation of a line is given below.

13x+4y=26
Find the x-intercept and the y-intercept.
Then use them to graph the line.

Answer 1

This will be pretty easy to solve, first thing we want to do is take this equation and put it into slope intercept form.

First let’s write out the equation so we can see all the steps happen:

13x + 4y = 26

To find the x intercept we can substitute 0 for y and solve.

13x + 4(0) = 26

13x + 0 = 26

13x = 26

x = 2

This is our x intercept (2,0)

To find the y intercept we do it similarly, substituting 0 for x instead.

13(0) + 4y = 26

0 + 4y = 26

4y = 26

y = 26/4 (simplify)

y = 13/2

This is our y intercept (0,13/2)

I have attached an image that shows what the graph would look like.