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Q 37.

Expert-verifiedFound in: Page 272

Book edition
Student Edition

Author(s)
Carter, Cuevas, Day, Holiday, Luchin

Pages
801 pages

ISBN
9780078884801

**Write the given equation of line in slope-intercept form.**

**$\mathit{y}\mathbf{+}\mathbf{3}\mathbf{=}\mathbf{5}\left(x+1\right)$**

The equation of the line in slope-intercept form is $\mathit{y}\mathbf{=}\mathbf{5}\mathit{x}\mathbf{+}\mathbf{2}$

The slope-intercept form of an equation of a line is given by,

$y=mx+b$

Where, slope$=m$, and, $y-$axis intercept$=b$

The equation is given by,

$\begin{array}{c}y+3=5\left(x+1\right)\\ y+3=5x+5\\ y=5x+5-3\\ y=5x+2\end{array}$

This equation is in slope-intercept form$y=mx+b$, where $m=5$ and $b=2$.

Therefore, the equation of the line in slope-intercept form is $y=5x+2$.

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