• Problem:
What is the slope-intercept form of 3x + 2y + 1 = 0?
• Answer:
Slope-intercept is in the form y = mx + b. Thus, we need to transpose the constant and linear term in terms of x to the right side of the equation.
[tex] \large \boxed{ \begin{array}{} \tt3x + 2y + 1 = 0 \\ \tt2y = - 3x - 1 \\ \tt y = - \frac{3}{2} x - \frac{1}{2} \end{array}}[/tex]
The slope-intercept form of the given linear equation is y = - (3/2) x - 1/2 in which -3/2 is the slope and -1/2 is the y-intercept.
