Question

3) Using the given line and point: y = 4x + 2 and (-5,7)a. Find the line parallel to the line through the given point in standard formb. Find the line perpendicular to the line through the given point in standardform

Answer 1

Problem

Using the given line and point: y = 4x + 2 and (-5,7)

a. Find the line parallel to the line through the given point in standard form

b. Find the line perpendicular to the line through the given point in standard

form

Solution

Part a

for this case since we need a parallel line then m1 =m2= 4 and we can find the intercept on this way:

7 = 4(-5)+b

b= 7+20

And then the equation would be:

y= 4x +27

y-27 =4x

Part b

for this case we need to satisfy m1 *m2 =-1

m2 = -1/4

And then we can find the intercpet like this:

7 = -1/4 (-5) +b

b= 7- 5/4 = 23/4

And the equation would be:

y= -1/4 x + 23/4