Web Analytics
Answered

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

Verified Answer :

The second graph has a slope of 0

Answer:

Option b has a slope of 0.

Step-by-step explanation:

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

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

\(Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{1-0}{1-0}=1\)

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

\(Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{b-0}=0\)

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

\(Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{0+1}=-1\)

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

\(Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{a-0}{5-5}=\infty\)

Hence, option b has slope of 0.

Related Questions