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 \(y=mx+b\)).

Try This!

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