Question

2x-5y=-12 please help me

Answer 1

Given the following equation of a line:

`2x-5y=-12`

Find the slope and the y-intercept of the line.

The slope-intercept form of a line is:

`y=mx+b`

Where m is the slope and b is the y-intercept.

Solving the given equation for y:

`\begin{gathered} 2x-5y=-12 \\ \text{Subtract 2x} \\ -5y=-2x-12 \\ Divide\text{ by -5:} \\ y=(-2x-12)/(-5) \\ \text{Simplify:} \\ y=(2)/(5)x+(12)/(5) \end{gathered}`

Comparing with the generic equation above, we find:

slope: m = 2/5

Y-intercept: b = 12/5