Question

A line represented by y = 2x − 3 and a line perpendicular to it intersect at R(2, 1). What is the equation of the perpendicular line?

Answer 1

Answer:

y = -1/2x + 2

Step-by-step explanation:

y = 2x - 3. The slope here is 2. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, just flip the slope and change the sign.

slope = 2 or 2/1.....flip it.....1/2....change the sign...-1/2. So our perpendicular line will have a slope of -1/2.

y = mx + b

slope(m) = - 1/2

(2,1)....x = 2 and y = 1

now we sub and find b, the y intercept

1 = -1/2(2) + b

1 = -1 + b

1 + 1 = b

2 = b

so ur equation is : y = -1/2x + 2 <===

and u can check it with ur points....(2,1)

y = 2x - 3

1 = 2(2) - 3

1 = 4 - 3

1 = 1 (yep...it checks out)