Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. do you agree? why
or why not?

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope =

Substitution

slope =

Simplification and result

slope =

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)