# Question 2405d

Feb 3, 2018

#### Explanation:

If the equation of a straight line is written in the form color(red)(ul(bar(|color(black)(y=mx+c)|,then the slope of the line is color(red)(m and $Y$ intercept is color(red)(c.

$x - y + 7 = 0$
$\implies y = x + 7$

Comparing we get, the slope of the line is color(red)(1

Hope that helps...

Feb 3, 2018

$\text{slope } = 1$

#### Explanation:

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

•color(white)(x)y=mx+b#

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

$\text{rearrange "x-y+7=0" into this form}$

$\text{add y to both sides}$

$x \cancel{- y} \cancel{+ y} + 7 = 0 + y$

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

$\Rightarrow \text{slope } = 1$