The equation of line AB is y=-1/2x-1. Write an equation of a line perpendicular to line AB in slope intercept form that contains point (-2,3). Hint (y-y1=M(x-x1)
Accepted Solution
A:
A perpendicular line has a slope that is the reciprocal of the original line.
y = -1/2x - 1
The slope is -1/2. The reciprocal of -1/2 is positive 2. You just flip the fraction, and change it from negative to positive (or the reverse).
Now, using y = mx + b, enter your new slope.
y = 2x + b
To find "b" now, just enter the coordinates you were given.
3 = 2(-2) + b 3 = -4 +b 7 = b
Enter the new "b" value into your equation for the answer.