# Question 85dee

Jan 22, 2018

The slope is $m = - 5$ and the $y$-intercept is $\left(0 , 7\right)$.

#### Explanation:

Given $y = m x + b$ the slope of the line is $m$ and the $y$-intercept is $\left(0 , b\right)$.

We have $y + 5 x = 7$ which we can rearrange to $y = - 5 x + 7$.

The slope is $m = - 5$ and the $y$-intercept is $\left(0 , 7\right)$.

Jan 22, 2018

$\text{slope "=-5," y-intercept } = 7$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b#

$\text{where m is the slope and b the y-intercept}$

$\text{rearrange "y+5x=7" into this form}$

$\text{subtract 5x from both sides}$

$y \cancel{+ 5 x} \cancel{- 5 x} = 7 - 5 x$

$\Rightarrow y = - 5 x + 7 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\Rightarrow \text{slope "=-5" and y-intercept } = 7$

Jan 22, 2018

so lets compare it to the general equation, $y = m x + c$....

$y + 5 x = 7$
$y = - 5 x + 7$

so then, $m = - 5$ and $c = 7$

p.s. c is the y intercept.:)