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.

Please it's my third time trying to figure it out!

Answer 1

red 1/2,

blue 2/5

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 (0,1) and (2,2)

m= (2-1)/ (2-0)

= 1/2

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

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

We have the points (0,-5) and (5,-3)

m= (-3--5)/ (5-0)

= (-3+5)/(5-0)

= 2/5

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