Question

Determine whether the lines are parallel. Use slope to explain your answer. Use the graph shown below.

The slope is of the red line is ___

The slope is of the blue line is ___

The lines do/do not have the same slope so they are/are not parallel.

Answer 1

red 2/3

blue 1/2

The lines do not have the same slope so they are not parallel

Explanation:

We can find the slope of the red line by using the formula

m = (y2-y1)/(x2-x1)

We have the points (0,2) and (3,4)

m= (4-2)/ (3-0)

= 2/3

We can find the slope of the blue line by using the formula

m = (y2-y1)/(x2-x1)

We have the points (0,-2) and (4,0)

m= (0--2)/ (4-0)

= (0+2)/(4-0)

= 2/4

=1/2

The lines do not have the same slope so they are not parallel