How do you write the equation of a line through (0,2) and -2/3 is the slope in slope intercept form?

Dec 2, 2016

$y = - \frac{2}{3} x + 2$

Explanation:

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.

Since (0 ,2) is a point on the y-axis then y-intercept is 2.

$\text{Here " m=-2/3" and } b = 2$

$\Rightarrow y = - \frac{2}{3} x + 2 \text{ is the equation of the line}$