Question

Do the graphs of the equations given represent parallel lines? Both explain and graph your answer. y = x + 7 x - y = -2

Answer 1

write them both in the form y = mx + c where m = slope of the line

y = x + 7
AND
y = x + 2

are the slopes of these 2 the same?

Answer 2

graphs with the same slope are of course parallel

Answer 3

no

compare the above with y = = mx + c

y = mx + c

y = 1x + 7

y = 1x + 2

what is m in each case? Compare them term by term

Answer 4

m = ?

Answer 5

ok thank you :) I get it now

Answer 6

good - the slope is 1 in both cases so the lines are parallel

the values of c denote the intersection of the lines on the y axis ( when x = 0)