Question

a. Find the slope of the line that passes through these points.

The slope is
(Type an integer or a simplified fraction.)

b. Is the slope between (1,4) And (3,12) the same as the slope between (3,12) and (4,16)?
Explain.


O A. Yes. Both slopes are equal to
(Type an integer or a simplified fraction.)

O B. No. The slope between (1,4) and (3,12) is equal to (4,16)

. The slope between (3,12) and
th

Answer 1

slope formula :  $\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}$

a.                          coordinates : (3,12) and (4,16)

$\sf \rightarrow \dfrac{16-12}{4-3}$

$\sf \rightarrow \dfrac{4}{1}$

$\sf \rightarrow 4$

b.                          coordinates : (1,4) and (3,12)

$\sf \rightarrow \dfrac{12-4}{3-1}$

$\sf \rightarrow \dfrac{8}{2}$

$\sf \rightarrow 4$

⇒ A. Yes. Both slopes are equal to 4