What is the y-intercept of the line perpendicular to the line...
.that includes the point (3, 1)?

A)
B)
C)
D)

D) 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes.

The line: has a slope of as it is  in y=mx+b form, where m is the slope, and b is the y-intercept.

Since the slope is , we see that the negative reciprocal slope is , as is the reciprocal (flip the numerator and denominator).

From here, we can use point slope form: , where is  the point. In this case, (3, 1) is the point.

Thus, we have: as our final equation.

Simplifying:

And: , which gives us the y-intercept to be 5.

Let me know if this helps!

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.