What is the equation for the line that is perpendicular to 4x + 2y = 9 that goes through the point (- 8, 5)?
![What is the equation for the line that is perpendicular to 4x 2y 9 that goes through the point 8 5 class=](https://us-static.z-dn.net/files/de0/25ced3cca37310f3aef3c67ea79d9dbd.png)
Answer:
[tex]y=\frac{1}{2} x+9.[/tex]
Step-by-step explanation:
1) all the perpendicular lines are: 2x-4y=C, where C - unknown number;
2) if to substitute the coordinates (-8;5) into 2x-4y=C, then C=2*(-8)-4*5= -36;
3) if C= -36, then the required equation is: 2x-4y=-36 or y=1/2 x +9.