Question

Graph the linear equation. Find threepoints that solve the equation, then ploton the graph.5x - 4y = -18

Answer 1

Given:

The equation is 5x - 4y = -18

Required:

Graph the linear equation. Find three points that solve the equation, then plot

on the graph.

Step-by-step explanation:

The given equation is:

5x - 4y = -18

subsitute x = 0

`\begin{gathered} 5*0-4y=-18 \\ -4y=-18 \\ 4y=18 \\ y=(18)/(4) \\ y=(9)/(2) \end{gathered}`

Substitute x = -1

`\begin{gathered} 5*-1-4y=-18 \\ -5-4y=-18 \\ -4y=-18+5 \\ -4y=-13 \\ 4y=13 \\ y=(13)/(4) \end{gathered}`

substitute x= 1

`\begin{gathered} 5*1-4y=-18 \\ 5-4y=-18 \\ -4y=-18-5 \\ -4y=-23 \\ y=(23)/(4) \end{gathered}`

The graph of the equation is:

Final answer:

Graph attached in the explanation part.