Question

Determine whether the graphs of the pair of lines are parallel. x+8=y, y-x= -4

Answer 1

Do you know about the slope of a line?

Answer 2

No the next part is to find the slope

Answer 3

okay, any linear equation in two variables represents a straight line on the cartesian plane.

Answer 4

first step is to write the line's equation in the form of y = mx +C

Answer 5

the first equation is already in this form. y = x + 8

Answer 6

here m = 1 and C = 8

Answer 7

any doubts?

Answer 8

So for the second one is it y=x+4

Answer 9

just move the x to the other side and it would become y = x - 4. the sign of four remains the same.

Answer 10

here m = 1 and C = -4

Answer 11

Is it clear?

Answer 12

how do tell if they are parallel?

Answer 13

the m represents the slope. Since both the lines have the same value of m (1 here ) they are parallel. This method is purely algebraic. you can also plot the graphs of the two given lines and check whether they are parallel.

Answer 14

thank you

Answer 15

the slope of each line is 1. they are parallel.

Answer 16

It was a pleasure