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 \(y=mx+b\)).
