Problem
We need to find the equation of a line that passes through the point (3,10) y es paralela a y= 1/2x -4
Solution
For this case the general equation of a line is given by:
y =mx+b
Since the line needs to be parallel we need to have the same slope so then m = 1/2 and we have:
y= 1/2x +b
And we can use the point x=3, y= 10 to find the value of b
10 = 1/2 (3) +b
b= 10 -3/2 = 17/2
So then our equation would be:
y= 1/2 x +17/2