Given equation is y=2x+7 and [tex]\frac{1}{2}y=x+\frac{7}{2}[/tex]
Let's simplify the 2nd equation [tex]\frac{1}{2}y=x+\frac{7}{2}[/tex] before we can start graph so that calculation will be easy
[tex]\frac{1}{2}y=x+\frac{7}{2}[/tex]
multiply both sides by 2 to cancel out fractions
[tex]2*\frac{1}{2}y=2*x+2*\frac{7}{2}[/tex]
y=2x+7
which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.
y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.
