Question

What is the y intercept of the equation? -10x -15y =60

Answer 1

Let's begin by listing out the information given to us:

`-10x-15y=60​`

We will proceed by making y the subject of the equation so as to conform it to the general linear equation formula

`\begin{gathered} y=mx+b \\ where\colon b=y-intercept \\ \\ -10x-15y=60​ \\ \text{Add 15y to both sides, we have:} \\ -10x-15y+15y=60+15y \\ -10x=15y+60 \\ \text{Subtract 60 from both sides, we have:} \\ -10x-60=15y\Rightarrow15y=-10x-60 \\ 15y=-10x-60 \\ \text{Divide through by 15, we have:} \\ (15y)/(15)=-(10)/(15)x-(60)/(15) \\ y=-(2)/(3)x-4 \\ \text{Comparing }y=-(2)/(3)x-4\text{ with }y=mx+b \\ b=-4 \\ \therefore\text{The }y-intercept\text{ is }4 \end{gathered}`