Question

Which graph has a slope of 1?

Answer 1

The top right one, it goes over 1, up 1

Answer 2

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

$m=\dfrac{d-b}{c-a}.$

For graph (A) :

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

$m=\dfrac{1-0}{4-0}=\dfrac{1}{4}\neq 1.$

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

$m=\dfrac{2-0}{2-0}=\dfrac{2}{2}=1.$

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

$m=\dfrac{1-0}{2-0}=\dfrac{1}{2}\neq 1.$

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

$m=\dfrac{5-0}{20-0}=\dfrac{5}{20}=\dfrac{1}{4}\neq 1.$

So, this option is incorrect.

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