Question

What is the slope of the line that passes through the points (10,8) and (7, 14)?

Write your answer in simplest form.

Answer 1

• (10,8)
• (7,14)

Slope:-

`\\ \rm\rightarrowtail m=(y_2-y_1)/(x_2-x_1)`

`\\ \rm\rightarrowtail m=(14-8)/(7-10)`

`\\ \rm\rightarrowtail m=(-6)/(-3)`

`\\ \rm\rightarrowtail m=2`

Answer 2

The line passes through the given points are ( 10,8) & (7,14)

here

x₁ = 10

y₁ = 8

x₂ = 7

y₂ = 14

We have been asked to slope of that line which passes through the given points .

Using Formulae

❍
`\bf \: m \: = (y_(2) - y_(1))/(x_(2) - x_(1))`

Put the given value we obtain

`\sf \dashrightarrow \: m \: = (14 - 8)/(7 - 10) \\ \\ \sf \dashrightarrow \: m \: = (6)/( - 3) \\ \\ \sf \dashrightarrow \: m \: = ( - 2)/(1) \\ \\ \sf \dashrightarrow \: m \: = - 2`

So, the slope of that line is -2 .