Given the following equation of a line:
[tex]2x-5y=-12[/tex]Find the slope and the y-intercept of the line.
The slope-intercept form of a line is:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
Solving the given equation for y:
[tex]\begin{gathered} 2x-5y=-12 \\ \text{Subtract 2x} \\ -5y=-2x-12 \\ Divide\text{ by -5:} \\ y=\frac{-2x-12}{-5} \\ \text{Simplify:} \\ y=\frac{2}{5}x+\frac{12}{5} \end{gathered}[/tex]Comparing with the generic equation above, we find:
slope: m = 2/5
Y-intercept: b = 12/5
