Question

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

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

Short answer

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

Step-by-step solution

Step 1. Slope-intercept form of an equation of a line:

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

$y=mx+b$

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

Step 2. Change the equation in slope-intercept form.

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 $y=5x+2$.