Question

Find the x-intercept and the y-intercept of the graph of the equation 7x + 25y = 12. Then graph the equation.

Answer 1

x-intercept:
`x=(12)/(7)` ≈
`1.714`

y-intercept:
`y=0.48`

The graph is attached.

Explanation:

To find the x-intercept you need to substitute
`y=0` into the equation and solve for "x". Then, this is:

`7x + 25y = 12\\\\7x + 25(0) = 12\\\\7x=12\\\\x=(12)/(7)`

`x` ≈
`1.714`

To find the y-intercept you need to substitute
`x=0` into the equation and solve for "y". Then, this is:

`7x + 25y = 12\\\\7(0) + 25y = 12\\\\25y=12\\\\y=(12)/(25)\\\\y=0.48`

Therefore, since the line passes through the points (
`(1.714,0)` and
`(0,0.48)`, you can graph it. (Observe the graph attached)