Question

Which graph has a slope of 1?

Answer 1

Answer: Graph (B) is correct. Image is attached below.

Step-by-step explanation: We are given to select the graph that has a slope of 1.

We know that

the slope of a graphed line passing through the points (a, b) and (c, d) is given by

`m=(d-b)/(c-a).`

For graph (A) :

the line passes through the points (0, 0) and (4, 1). So, the slope of the graphed line will be

`m=(1-0)/(4-0)=(1)/(4)\\eq 1.`

So, this option is incorrect.

For graph B :

the line passes through the points (0, 0) and (2, 2). So, the slope of the graphed line will be

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

So, this option is correct.

For graph C :

the line passes through the points (0, 0) and (2, 1). So, the slope of the graphed line will be

`m=(1-0)/(2-0)=(1)/(2)\\eq 1.`

So, this option is incorrect.

For graph D :

the line passes through the points (0, 0) and (20, 5). So, the slope of the graphed line will be

`m=(5-0)/(20-0)=(5)/(20)=(1)/(4)\\eq 1.`

So, this option is incorrect.

Thus, the graph (B), the top second one is the correct option. Its image ia attached below.