# Question 624a2

Mar 29, 2017

$y = \frac{1}{2} x + 2$

#### Explanation:

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(" parallel lines have equal slopes")color(white)(2/2)|))#

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and b, the y-intercept.

$y = \frac{1}{2} x - 3 \text{ is in this form}$

$\Rightarrow m = \frac{1}{2}$

The partial equation is therefore $y = \frac{1}{2} x + b$

To find b, substitute (-2 ,1) into the partial equation.

$1 = \left(\frac{1}{2} \times - 2\right) + b$

$\Rightarrow 1 = - 1 + b \to b = 1 + 1 = 2$

$\Rightarrow y = \frac{1}{2} x + 2 \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$