Web Analytics

Questions › Math

Math Asked by a SnapAndSolve user · about 1 hour ago

Which equation describes the line that passes through point P and is perpendicular to the line on the graph?

Which equation describes the line that passes through point P and is perpendicular to the line on the graph?
A. \( y - 2 = -\frac{2}{3}(x + 2) \)
B. \( y + 2 = -\frac{2}{3}(x - 2) \)
C. \( y + 2 = -\frac{3}{2}(x - 2) \)
D. \( y - 2 = -\frac{3}{2}(x + 2) \)

Answer

The slope of the given line is \( \frac{2}{3} \). The slope of a line perpendicular to it is the negative reciprocal, which is \( -\frac{3}{2} \). The line must also pass through point \( P(-2, 2) \).

  1. Option C: \( y + 2 = -\frac{3}{2}(x - 2) \) is the correct equation.

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Math help Find a math tutor

More math questions