First determine the slope of the given line. Based on this slope, determine the slope of the line to be found. Remember that parallel lines have the same slope and perpendicular lines have slopes whose product is -1. Once the slope is found, use it along with the given point to write the point-slope equation of the new line. Solve for y to write the new equation in the form y=mx+b
In the equation you want to find, the constant on the right (the y-intercept) will be the one that lets the line go through the given point. Putting that point in the equation, we can solve for the intercept:
... 8 = (4/5)(-3) + b
Adding 2.4 to each side gives
... 10.4 = b
Your equation is ...
... y = (4/5)x + 10.4
_____
The constant 10.4 could be written 52/5 if you like.
