Exercise 37 Page 194

We want to graph the line that passes through $X(1,\text{-}4)$ and is parallel to $\overleftrightarrow{YZ}$ with points $Y(5,2)$ and $Z(\text{-}3,\text{-}5).$ To do this, let's first graph $\overleftrightarrow{YZ}.$

Graphing $\overleftrightarrow{YZ}$

By graphing $\overleftrightarrow{YZ},$ we will learn its slope.

Line $YZ$ has a slope of $\frac{7}{8}.$ Since we want to graph a line parallel to $\overleftrightarrow{YZ},$ we know that it should have the same slope, $\frac{7}{8}.$

Graphing the New Line

Now we can draw the desired line. This line should pass through $X(1,\text{-}4)$ and have a slope of $\frac{7}{8}.$