- Equation in point-slope form is:
[tex]y-y1=m(x-x1)[/tex]Where:
m = slope = 4
(x1, y1) = point = (-2, -1)
Therefore, the equation is:
[tex]\begin{gathered} y-(-1)=4(x-(-2)) \\ y+1=4(x+2) \end{gathered}[/tex]Answer: y + 1 = 4(x + 2)
- Equation in slope intercept form is given by:
[tex]y=mx+b[/tex]Where:
m = slope
b = intercept
So, the equation will be:
[tex]\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}[/tex]Answer: y = 4x + 7