Question

Find the equation of the line parallel to the given line that passes through the point

Answer 1

A) parallel, same slope
Y = 3x + b
9 = 3(5) + b
9 = 15 + b, b = -6
Equation: y = 3x - 6x

B) y = -7x + b
11 = -7 + b, b = 18
Y = -7x + 18

c) y = 9x + b
-16 = 18 + b, b = -34

d) y = -x + b
9 = 2 + b, b = 7
Y = -x + 7

Try the rest on your own

Answer 2

Answer:

a. y=3x-6

b. y=18-7x

c. y=9x-34

d. y=-x +11

e. y=-3/2x-5

Step-by-step explanation:

I'll give you a step by step for one of the questions cuz the same rule applies for all questions.

As the line is parallel it has the same gradient but different y intercept

so for a y = 3x + c

substitute the values in (5,9)

9=3*5+c

c=-6

y=3x-6