Lindsey N. answered • 03/16/16

Tutor

4.6
(36)
Helping you conquer math, science, and engineering courses

Hi Rosalind,

Remember that an equation of a line can be expressed as y = mx + b.

You have plugged your points in rightly to find the slope of the line segment, although do be careful with your subtraction. 11-(-3) = 14 so the slope of the line segment is 2/14 or 1/7.

We also need to find the mid-point of the line segment in order to bisect the line. To find the midpoint, you need to average the coordinates. (-3 + 11)/2 = 4 and (7 + 9) /2 = 8. This tells us that we want our bisector to pass through the point (4, 8)

To find the

**perpendicular***line, we need to use the negative reciprocal of our existing slope. The negative reciprocal of 1/7 is -7.*We can now plug in the values using 2 point form:

y - 8 = -7(x-4)

y - 8 = -7x + 28 (distribute the -7)

y = -7x + 36 (add 8 to both sides)

I hope this helped!

Lindsey