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=-(A)/(B)=-(6)/(9)=-(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=(-15-6x)/(9) \\ \\ y=(-15)/(9)-(6x)/(9) \\ y=-(5)/(3)-(2x)/(3) \end{gathered}`

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

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