Question

Determine the intercepts of the line.

-5x + 9y = -18

x-intercept: ( _ , _ )

y-intercept: ( _ , _ )

Answer 1

Answer:

x-intercept: $(\frac{18}{5},0)$

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

Step-by-step 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:

$-5x + 9(0) = -18\\\\-5x=-18\\\\x=\frac{18}{5}$

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

$(\frac{18}{5},0)$

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:

$-5(0) + 9y = -18\\\\y=\frac{-18}{9}\\\\y=-2$

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

$(0,-2)$