Home > GC > Chapter 5 > Lesson 5.3.5 > Problem5-119

5-119.

Find the equation of a line parallel to the line $y=\frac{3}{4}x-5$ that passes through the point $(-4,1)$. Show how you found your answer.

Since parallel lines have the same slope, the equation for the parallel line is:

Since the new line goes through $(-4,1)$, substitute $x=-4$ and $y=1$ into the above equation, and then solve for $b$.

$y=\frac{3}{4}x+4$