Question

Determine the intercepts of the line.

-5x + 9y = -18

x-intercept: ( _ , _ )

y-intercept: ( _ , _ )

Answer 1

x-intercept:
`((18)/(5),0)`

y-intercept:
`(0,-2)`

Explanation:

Since the line intersects the x-axis when
`y=0`, you need to substitute
`y=0` into the equation of the given line and solve for "x", in order to find the x-intercept:

`-5x + 9(0) = -18\\\\-5x=-18\\\\x=(18)/(5)`

Therefore, the line intersects the x-axis at this point:

`((18)/(5),0)`

Knowint that he line intersects the y-axis when
`x=0`, you can substitute
`x=0` into the equation of the given line and solve for "y", in order to find the y-intercept:

`-5(0) + 9y = -18\\\\y=(-18)/(9)\\\\y=-2`

Therefore, the line intersects the y-axis at this point:

`(0,-2)`