Answer:
y = 4x - 3
Step-by-step explanation:
Firstly rearrange into the form y = mx + c;
⇒ [tex]y = -\frac{1}{4}x + 2[/tex]
Secondly, find the gradient of the line using the formula for perpendicular lines;
⇒ [tex]m_{1}m_{2} = -1[/tex]
⇒ [tex]-\frac{1}{4}m_{2} = -1[/tex]
⇒ [tex]m_{2} = 4[/tex]
Now substitute into the formula for a straight line;
⇒ [tex]y - y_{1} = m(x - x_{1})[/tex]
⇒ [tex]y + 11 = 4(x + 2)[/tex]
⇒ [tex]y = 4x - 3[/tex]
