Question

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

Answer 1

m = 7/9

m = 7/9m ≈ 0.80

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

`\text{Slope} = \frac{7}9`

Explanation:

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