The given equation is
[tex]y=\frac{5}{2}x+5[/tex]We will find 2 points on the line and use them to draw it
Let x = 0 and find the corresponding value of y
[tex]\begin{gathered} y=\frac{5}{2}(0)+5 \\ y=0+5 \\ y=5 \end{gathered}[/tex]The first point is (0, 5)
Let y = 0 and find the corresponding value of x
[tex]0=\frac{5}{2}x+5[/tex]Subtract 5 from both sides
[tex]\begin{gathered} 0-5=\frac{5}{2}x+5-5 \\ -5=\frac{5}{2}x \end{gathered}[/tex]Multiply each side by 2
[tex]\begin{gathered} -5(2)=\frac{5}{2}(2)x \\ -10=5x \end{gathered}[/tex]Divide both sides by 5
[tex]\begin{gathered} \frac{-10}{5}=\frac{5x}{5} \\ -2=x \end{gathered}[/tex]The second point is (-2, 0)
Let us draw the graph
The red line represents the given equation
