How do you write an equation in slope intercept form given that the line passes through the point (2,1) with slope -2/3?

Mar 15, 2018

$y = - \frac{2}{3} x + \frac{7}{3}$

Explanation:

As slope is $- \frac{2}{3}$ the equation reads like this:

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

So we must find $d$. For this we use the point (2,1), which means, that for $x = 2$ the value of $y = 1$.

We fill it into the equation:

$1 = - \frac{2}{3} \cdot 2 + d$

$1 = - \frac{4}{3} + d$

we add $\frac{4}{3}$ on both sides of the equation:

$1 + \frac{4}{3} = d$

$d = \frac{7}{3}$