Question

What is the equation of the line that is perpendicular to the line y = − x / 2 + 4 / 5 and passes through the point ( − 2, 6 ).

pls answer quickly

Answer 1

y = 2x + 10

Explanation:

Equation of the line is;

y = −(x/2) + (4/5)

Slope here is m = -½ following the equation y = mx + c

Now, for a line perpendicular to it, the slope will now be; m = -1/(-½) = 2

To pass through the point ( − 2, 6 ), let's find C and it will be;

6 = 2(-2) + c

6 = -4 + c

c = 6 + 4

c = 10

Thus equation is;

y = 2x + 10