Given: The equation below
[tex]6x-2y=12[/tex]
To Determine: The slope-intercept form of the equation
Solution:
The slope-intercept form of a linear equation is given as
[tex]\begin{gathered} y=mx+c \\ Where \\ m=slope \\ c=intercept \end{gathered}[/tex]
From the given equation, make y the subject
[tex]\begin{gathered} 6x-2y=12 \\ 6x-12=2y \\ 2y=6x-12 \\ Divide\text{ through by 2} \\ \frac{2y}{2}=\frac{6x}{2}-\frac{12}{2} \\ y=3x-6 \\ slope=3 \\ intercept=-6 \end{gathered}[/tex]
Hence, the slope-intercept form of the given equation is
y = 3x - 6
