Question

Find the equation of the line given slope and y-intercept. Write the equation in slope-intercept form Slope 4 and y-intercept (0,-9)

Answer 1

Given:

`\begin{gathered} \text{slope}=4 \\ y-\text{intercept}=(0,-9) \end{gathered}`

The equation of the line in slope-intercept form is given by;

`\begin{gathered} y=mx+b \\ \\ \text{where m is the slope, m = 4} \\ b\text{ is the y-intercept, b = -9} \end{gathered}`

Substituting these values into the equation of the line,

`\begin{gathered} y=mx+b \\ y=4x+(-9) \\ y=4x-9 \end{gathered}`

Therefore, the equation of the line in slope-intercept form is;

`y=4x-9`