Question

Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form y=mx+c

Answer 1

Answer:

y=-1/2x+7/2

Step-by-step explanation:

Gradient is negative reciprocal so -1/2x

3=-1/2x + 7/2

y=-1/2x+7/2

Answer 2

Answer:

perpendicular lines have the same gradient

y=2x+3

The gradient of the two lines is 2

Gradient=change in y/change in x

=y2-y1/x2-x1

Let (x,y) also lie on the line

2= y-3/x-1

2(x-1) =y-3

2x-2=y-3

2x-y=-3+2

2x-y= -1

2x+1 =y

y=2x+1

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY