Question

Write the given equation in slope-intercept form. Then identify the slope and the y-intercept for the line.3x - 2y = -6

Answer 1

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.

`\begin{gathered} 3x\text{ - 2y = -6} \\ 3x\text{ + 6 = 2y} \end{gathered}`

Step 3:

Divide through by 2

`\begin{gathered} (2y)/(2)\text{ = }(3x)/(2)\text{ + }(6)/(2) \\ y\text{ = }(3)/(2)x\text{ + 3} \end{gathered}`

Slope = 3/2

y-intercept = 3

Final answer

`\text{Slope}-\text{intercept form is y = }(3)/(2)x\text{ + 3}`