Item 9 Write an equation of the line that passes through (2,−3) and is perpendicular to the line y=−2x−3.

Answer 1

equation of line is y = mx + b, where m is slope and b is y intercept.

For line y = -2x -3, m = -2, so the slope is -2.

The slope of the line perpendicular to that line is the negative reciprocal or 1/2.

so for the line that passes through (2,-3), we have y = 1/2 x + b

to find b, we substitute (2,-3) for (x,y) and solve for b:

-3 = 1/2 (2) + b

-4 = b

y = 1/2 x - 4