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 \((3, 2)\).

\[slope=\frac{2-(-1)}{-3-(-2)}=\frac{2+1}{3+2}=\frac{3}{5}\]

\[y=mx+b\]

\[2=\frac{3}{5}(3)+b\]

\[2=\frac{9}{5}+b\]

\[2-\frac{9}{5}=b\]

\[\frac{10}{5}-\frac{9}{5}=b\]

\[b=\frac{1}{5}\]

Therefore the equation of the line is: \(y=\frac{3}{5}x+\frac{1}{5}\).


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

Try This!

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