Question

Write an equation in point slope form and slope intercept form Passes through (-2,-1), slope =4

Answer 1

- Equation in point-slope form is:

`y-y1=m(x-x1)`

Where:

m = slope = 4

(x1, y1) = point = (-2, -1)

Therefore, the equation is:

`\begin{gathered} y-(-1)=4(x-(-2)) \\ y+1=4(x+2) \end{gathered}`

Answer: y + 1 = 4(x + 2)

- Equation in slope intercept form is given by:

`y=mx+b`

Where:

m = slope

b = intercept

So, the equation will be:

`\begin{gathered} y+1=4(x+2) \\ \text{distribute 4 and simplify} \\ y+1=4x+8 \\ y+1-1=4x+8-1 \\ y=4x+7 \end{gathered}`

Answer: y = 4x + 7