Question

Find the x-intercept and the y-intercept of the graph of the equation 3x + 23y = 10. Then graph the equation.

Answer 1

See below.

Explanation:

`3x+23y=10\\23y=10-3x\\y=(10-3x)/(23) \\y=(10)/(23) -(3)/(23) x`

To calculate the x-intercept of this equation, we equalize it to 0 and isolate x.

`(10)/(23) -(3)/(23) x =0`

`-(3)/(23) x =-(10)/(23)\\x=-(10)/(23):  -(3)/(23)\\x= (10)/(3)`

The y-intercept is the number on the function without a X. In this case:

`(10)/(23) =Y`

We mark the point of both interceptions on a Cartesian plane and we draw a line to graph the function.