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