Answer :

[tex]\begin{gathered} (4,2) \\ (8,3) \end{gathered}[/tex]

Explanation

[tex]\begin{gathered} y=\frac{5}{4}x-7 \\ \end{gathered}[/tex]

Step 1

to graph a line, yo will need at least 2 points, also if you have the equation of the lines, you cand easily find two poinst

to find a poins just replace the x value( independent variable) , then calculate and you will get the output value( dependent variable)

s0

Step 1

a)at x= 4

[tex]\begin{gathered} y=\frac{5}{4}x-7 \\ \text{replace} \\ y=\frac{5}{4}(4)-7 \\ y=5-7 \\ y=-2 \end{gathered}[/tex]

Hence, the coordinate is (4,-2)

b)

at x= 8

[tex]\begin{gathered} y=\frac{5}{4}(8)-7 \\ \text{replace} \\ y=\frac{40}{4}-7 \\ y=10-7 \\ y=10-7 \\ y=3 \end{gathered}[/tex]

therefore , the coordinate 2 is (8,3)

Step 2

now, graph the lines

to do that, draw a lines that passes trought the points we got in the previous step

so

I hope this helps you

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