Question

Slope-Intercept Form• Write an equation in standard form (Ax + By = C), then convert to slope-intercept form• Identify the slope and y-intercept

Answer 1

`\begin{gathered} \text{ Slope= -5/6} \\ \text{ y-intercept= 1/3} \end{gathered}`

Explanation:

Assume that A=5, B=6, and C=2

Then, the standard form would be:

`5x+6y=2`

Remember that linear functions in the slope-intercept form are represented by:

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

Therefore, isolate y in the equation created:

`\begin{gathered} \text{ 6y=2-5x} \\ y=-(5)/(6)x+(2)/(6) \\ y=-(5)/(6)x+(1)/(3) \end{gathered}`

Hence, the slope and y-intercept of the line are:

`\begin{gathered} \text{ Slope= -5/6} \\ \text{ y-intercept= 1/3} \end{gathered}`