Step 1:
The standard slope-intercept form formula is given as y = mx + c
m = slope
c = y-intercept
Step 2:
Write the equation and express y in terms of x.
[tex]\begin{gathered} 3x\text{ - 2y = -6} \\ 3x\text{ + 6 = 2y} \end{gathered}[/tex]
Step 3:
Divide through by 2
[tex]\begin{gathered} \frac{2y}{2}\text{ = }\frac{3x}{2}\text{ + }\frac{6}{2} \\ y\text{ = }\frac{3}{2}x\text{ + 3} \end{gathered}[/tex]
Slope = 3/2
y-intercept = 3
Final answer
[tex]\text{Slope}-\text{intercept form is y = }\frac{3}{2}x\text{ + 3}[/tex]
