Question

find the x and y intercept from the following equations there should be 2 ordered pairs for each solution

Answer 1

in the given equation

$4x+5y=-20$

To find the x-intercept, substitute y by 0

$\begin{gathered} y=0 \\ 4x+5(0)=-20 \\ 4x+0=-20 \\ 4x=-20 \end{gathered}$

Divide both sides by 4 to find x

$\begin{gathered} \frac{4x}{4}=-\frac{20}{4} \\ x=-5 \end{gathered}$

Then the x-intercept is (-5, 0)

To find the y-intercept, substitute x by 0

$\begin{gathered} x=0 \\ 4(0)+5y=-20 \\ 0+5y=-20 \\ 5y=-20 \end{gathered}$

Divide both sides by 5, them to find y

$\begin{gathered} \frac{5y}{5}=-\frac{20}{5} \\ y=-4 \end{gathered}$

Then, the y-intercept is (0, -4)