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:-

$\\ \rm\rightarrowtail m=\dfrac{y_2-y_1}{x_2-x_1}$

$\\ \rm\rightarrowtail m=\dfrac{14-8}{7-10}$

$\\ \rm\rightarrowtail m=\dfrac{-6}{-3}$

$\\ \rm\rightarrowtail m=2$

Answer 2

Answer:

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

❍$\bf \: m \: = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Put the given value we obtain

$\sf \dashrightarrow \: m \: = \dfrac{14 - 8}{7 - 10} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{6}{ - 3} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{ - 2}{1} \\ \\ \sf \dashrightarrow \: m \: = - 2$

So, the slope of that line is -2 .