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Sagot :
We have the following:
The line passes through the coordinates (7, 0):
The line is parallel to the equation:
[tex]\begin{gathered} y=2.5x+3.5 \\ m(parallel)=2.5 \end{gathered}[/tex]We will find the equation of the line as shown below:
I. Find the slope of the line, we have:
[tex]\begin{gathered} m(parallel)=2.5 \\ m(parallel)\cong m=2.5 \\ \Rightarrow m=2.5 \\ \\ \therefore m=2.5 \end{gathered}[/tex]II. We will use the point-slope equation to obtain the equation of the line as shown below:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(7,0) \\ m=2.5 \\ y-0=2.5(x-7) \\ y=2.5x-17.5 \\ \\ \therefore y=2.5x-17.5 \end{gathered}[/tex]T
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