On all x-intercepts the y = 0. To find the x-intercept in any equation just plug in a 0 for y and solve for x. This is regardless of what form the equation is in.

 

Example

What is the x-intercept of y = 3x –1?

 

Plug in a 0 for y.

0 = 3x – 1

 

Solve for x by first adding 1 to both sides.

1 = 3x

 

Divide both sides by 3.

= x

 

Answer!

 

Note- The previous answer only states where on the x-axis that the line crosses. For the actual point on the graph where it crosses the x-axis remember that y = 0. Use that information to write the point (, 0), as being the x-intercept.

 

 

 

 

 

Example

What is the x-intercept of 4x – 5y = 6?

 

Plug in a 0 for y.

4x – 5(0) = 6

 

Solve for x by first multiplying the 5 and 0.

 

4x = 6

 

Divide by 6.

x =

 

Simplify.

 

x =

 

Answer!