Question

Choose the graph below that has slope of zero.

a.line through the points 0 comma 0 and 1 comma 1
b.horizontal line through the point 0 comma 5
c.line through the points negative 1 comma 1 and 0 comma 0
d.vertical line through the point 5 comma 0

Answer 1

The second graph has a slope of 0

Answer 2

Option b has a slope of 0.

Explanation:

Given the points we have to check the graph of slope 0.

Option a.) line through the points (0,0) and (1,1)

`Slope=(y_2-y_1)/(x_2-x_1)=(1-0)/(1-0)=1`

Option b.) horizontal line through the point (0,5) i.e line through the points (0,5) and (b,5)

`Slope=(y_2-y_1)/(x_2-x_1)=(5-5)/(b-0)=0`

Option c.) line through the points (-1.1) and (0,0)

`Slope=(y_2-y_1)/(x_2-x_1)=(0-1)/(0+1)=-1`

Option d.) vertical line through the point (5,0) i.e line through the points (5,0) and (5,a)

`Slope=(y_2-y_1)/(x_2-x_1)=(a-0)/(5-5)=\infty`

Hence, option b has slope of 0.