# LINR 1 | Lesson 4 | Try This! (Solutions: Write Equations Using $$y=mx+b$$)

## Solutions: Write Equations Using $$y=mx+b$$

Note the answers for 1, 2, and 3 were given on the previous page.

Given the points $$( -2, -1)$$ and $$(3, 2)$$.

$slope=\frac{2-(-1)}{-3-(-2)}=\dfrac{2+1}{3+2}=\dfrac{3}{5}$

\begin{align} y&=mx+b \\\\ 2&=\dfrac{3}{5}(3)+b \\\\ 2&=\dfrac{9}{5}+b \\\\ 2-\dfrac{9}{5}&=b \\\\ \dfrac{10}{5}-\dfrac{9}{5}&=b \\\\ b&=\dfrac{1}{5}\end{align}

Therefore the equation of the line is: $$y=\dfrac{3}{5}x+\dfrac{1}{5}$$.

Return to Try This! (Writing Equations Using $$y=mx+b$$).