Question

Select all lines that have a slope of (5/2). (A) (B) (C) (D) (E)

Answer 1

Answer:

A rate of 5/2 means that:

If we move 2 units to the right, we move 5 units up.

Let's see all the graphs, the easier way to know this is:

In any point of the line, move to the right 2 units.

Then from that point, move up until you meet again with the line, if you moved 5 units, then the slope is 5/2.

A) The slope is 5/2.

B) The slope is 4/2

C) the slope is 5/2

I can not see very well graphs E and D in the image.

E) may have a slope of 5/2, you should measure it.

D has not a slope of 5/2,  you can compare it with A and see that is totally different, so you can discard option D.

Answer 2

Given: A graph containing five lines

To find: The lines having a slope of (5/2)

Solution: To find the slope of a straight line, we calculate m (slope) which is given by (y₂ - y₁)/(x₂ - x₁).

For line A, slope m = 10/4 = 5/2.

For line B, slope m = 4/2 = 2.

For line C, slope m = 2/5.

For line D, slope m = 4/10 = 2/5.

For line E, slope m = 10/4 = 5/2.

Therefore, the lines which have a slope of 5/2 are A and E.

Answer: (A) and (E)