Question

Find the x and I intercept of the graph of the given equations-5x + 3y = -7.5

Answer 1

The slope-intercept form of a line is given by:

`\begin{gathered} y=mx+b \\ where\colon \\ m=slope \\ b=y-intercept_{} \end{gathered}`

so:

`-5x+3y=-7.5`

solve for y:

`\begin{gathered} 3y=5x-7.5 \\ y=(5)/(3)x-(5)/(2) \\ \end{gathered}`

So:

`\begin{gathered} m=(5)/(3) \\ b=-(5)/(2) \end{gathered}`

The x-intercept is:

`\begin{gathered} y=0 \\ 0=(5)/(3)x-(5)/(2) \\ (5)/(3)x=(5)/(2) \\ x=(15)/(10)=1.5 \end{gathered}`