Question

Identify an equation in point-slope form for the line perpendicular toy = 1x-7 that passes through (-2, -6).A. y +2 - -4(X+6)B. y+6=- 4(x+2)C. y-6 - 4(x-2)D. y + 6 = -4(x+2)

Answer 1

Solution

For slope(m) to form a perpendicular

$M_1\times M_2=-1$$\begin{gathered} M_1=\frac{1}{4} \\ \frac{1}{4}\times M_2=-1 \\ M_2=-4 \\ \end{gathered}$

Now to identify the equation that pass through (-2,-6)

$\begin{gathered} M_2=\text{ }\frac{y-y_1}{x-x_1} \\ (x_{1\text{ ,}}y_{1\text{ }})\text{ =(-2,-6)} \\ -4_{}=\text{ }\frac{y-(-6)_{}}{x-(-2)_{}} \\ -4_{}=\text{ }\frac{y+6_{}}{x+2_{}} \\ cross\text{ mulitply} \\ y+6=-4(x+2) \end{gathered}$

The l