Question

Find the x and the y intercept there should be 2 ordered pairs for the each solution

Answer 1

We have the line in standard form:

`4x+5y=-20`

We have to find the 2 intercepts.

The y-intercept correspond to the value of the line when x=0, so we can find the value of y that correspond to x=0 replacing x in the equation and solving for y:

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

Then, the ordered pair for the y-intercept is (0,-4).

In the case of the x-intercept the concept is equivalent but the coordinate that has a value of 0 is y. So we will replace y with 0 in the equation and solve for x:

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

Then, the ordered pair for the x-intercept is (-5,0).

We can graph the line and its intercepts as:

Answer:

X-intercept: (-5, 0)

Y-intercept: (0,-4)