Question

Given the equation of a line --3x + 4y = -12, determine the following:What is the slope of the line?I22What is the y-intercept? Enter your answer as an ordered pair in the form (x, y).terceptPls see the picture

Answer 1

`\begin{gathered} \text{Slope}=\text{ 3/4} \\ \text{ y-intercept= -3} \end{gathered}`

Explanation:

Linear equations are represented by the following equation:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

Therefore, to determine the slope and y-intercept of the given equation. Isolate "y" using inverse operations:

`\begin{gathered} -3x+4y=-12 \\ 4y=3x-12 \\ y=(3)/(4)x-3 \\ \text{ Hence,} \\ \text{Slope}=\text{ 3/4} \\ \text{ y-intercept= -3} \end{gathered}`