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

Sagot :

Given:

The equation is 5x - 4y = -18

Required:

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

on the graph.

Explanation:

The given equation is:

5x - 4y = -18

subsitute x = 0

[tex]\begin{gathered} 5\times0-4y=-18 \\ -4y=-18 \\ 4y=18 \\ y=\frac{18}{4} \\ y=\frac{9}{2} \end{gathered}[/tex]

Substitute x = -1

[tex]\begin{gathered} 5\times-1-4y=-18 \\ -5-4y=-18 \\ -4y=-18+5 \\ -4y=-13 \\ 4y=13 \\ y=\frac{13}{4} \end{gathered}[/tex]

substitute x= 1

[tex]\begin{gathered} 5\times1-4y=-18 \\ 5-4y=-18 \\ -4y=-18-5 \\ -4y=-23 \\ y=\frac{23}{4} \end{gathered}[/tex]

The graph of the equation is:

Final answer:

Graph attached in the explanation part.

View image BraylinS510252
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