Question

Find the equation of the line that passes through (1,3) and is perpendicular to

y
=
2
x
−
1
.
Leave your answer in the form
y
=
m
x
+
c

Answer 1

y = -1/2x + 7/2

Explanation:

perpendicular means making the negative inverse of the slope

perpendicular of y = 2x -1 is

y = -1/2x + b

fill in (1,3)

3 = -1/2(1) + b

3 = -1/2 + b

3 = 6/2

6/2 = -1/2 + b

7/2 = b

y = -1/2x + 7/2