Question

Find the slope of the line through the each pair of points (16, 14), (-2, 0)

Answer 1

Answer:

m = 7/9

m = 7/9m ≈ 0.80

Step-by-step explanation:

Given two points:

(16, 14), (-2, 0)

To find:

The slope

Solution:

We know that,

$\rm Slope(m) = \cfrac{ y_2 - y_1}{x_2 - x_1}$

According to the question,

• y_2 = 0
• y_1 = 14
• x_2 = -2
• x_1 = 16

Note:[The underscore refers to that the numbers after the underscore is a subscript]

So Substitute them on the formulae:

$\implies \rm \: m = \cfrac{0 - 14}{ - 2 - 16}$

Simplify it.

$\implies \rm \: m = \cfrac{ \cancel{- 14} \: {}^{7} }{ \cancel{- 18} \: {}^{9} }$

$\implies \boxed{ \rm \: m = \cfrac{7}{9} }$

$\implies \rm \boxed{ \rm m \approx0.80}$

Thus,the slope is 7/9 in fraction and 0.80 (Nearest tenth) in decimal.

Answer 2

Answer:

$\text{Slope} = \dfrac{7}9$

Step-by-step explanation:

$\text{Given that,}~ (x_1,y_1) = (16,14)~ \text{and}~ (x_2,y_2) = (-2,0)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{0-14}{-2-16}\\\\\\~~~~~~~~~~~~=\dfrac{-14}{-18}\\\\\\~~~~~~~~~~~~=\dfrac{7}9$