# How do you write the equation in slope intercept form given (0, 8) with a slope of -2/3?

Jul 17, 2016

$y = - \frac{2}{3} x + 8$

#### Explanation:

This is easiest equation to find because all the information you need is given.
The slope is stated as such. $m = - \frac{2}{3}$

The point that is given is actually the y-intercept because the x-co-ordinate is 0. so,

$c = 8$

Plug the values into $y = m x + c \text{ to get }$ y = -2/3 x +8#


If any other point is given and you know the slope, there is a nifty formula for the equation of a line which applies in just such a case where we are given the slope and one point.

Using this formula requires only ONE step with substitution and some easy simplifying. Works like a dream...

$y - {y}_{1} = m \left(x - {x}_{1}\right) \text{ m = slope and "(x_1,y_1)" is a point}$

Substitute the given values and simplify.