Question 426133
The equation will be of the form y = mx + b
Putting the equation for the indicated line in this form gives
y = -5/2x + 3
The line we want is parallel to the above which means the slopes are the same.
So the equation of the line is y = -5/2x + b
The point (-7,0) lies on the line.  We can use this information to solve for b.
0 = -5/2*-7 + b -> b = -35/2.
So the answer is:
y = -5/2x - 35/2
Here are the graphs of the two equations:
{{{graph(300,200,-20,20,-20,20,(-5/2)*x - 35/2,(-5/2)*x + 3)}}}