Question

Identify the x intercept and y intercept of the line 3x -5 y equals 15,

Answer 1

The slope intercept form of a equation is given by:

`\begin{gathered} y=mx+b \\ where \\ m=Slope \\ b=y-intercept \\ \end{gathered}`

So, for the line:

`3x-5y=15`

Let's solve for y:

`\begin{gathered} \text{add 5y to both sides:} \\ 3x-5y+5y=15+5y \\ 3x=5y+15 \\ \text{subtract 15 from both sides:} \\ 3x-15=5y+15-15 \\ 5y=3x-15 \\ \text{divide both sides by 5:} \\ (5y)/(5)=(3x-15)/(5) \\ y=(3)/(5)x-3 \end{gathered}`

So, from the resulting equation we can conclude:

`\begin{gathered} m=Slope=(3)/(5) \\ b=y-intercept=-3 \end{gathered}`