Question

Given the equation 9y + 6x= -15, find the slope and the y-intercept

Answer 1

In order to find the slope of the given equation, we just have to divide the coefficient of x by the coefficient of y, as follows:

$m=-\frac{A}{B}=-\frac{6}{9}=-\frac{2}{3}_{}$

Hence, the slope is -2/3.

Now, to find the y-intercept, we can isolate the equation to get the slope-intercept form.

$\begin{gathered} 9y+6x=-15 \\ 9y=-15-6x \\ y=\frac{-15-6x}{9} \\ \\ y=\frac{-15}{9}-\frac{6x}{9} \\ y=-\frac{5}{3}-\frac{2x}{3} \end{gathered}$

It is important to know that the y-intercept is the independent term.

Hence, the y-intercept is -5/3.