Question

(14, 10), (-10,-5) slope through the give line explain in steps pls

Answer 1

Answer: $\text{Slope}=\Large\boxed{\dfrac{5}{8}}$

Step-by-step explanation:

Given information

$(x_1,~y_1)=(14,~10)$

$(x_2,~y_2)=(-10,~-5)$

Given the formula for finding the slope

$\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute values into the given formula

$\text{Slope}=\dfrac{(-5)-(10)}{(-10)-(14)}$

Simplify by subtraction

$\text{Slope}=\dfrac{-15}{-24}$

Simplify the fraction

$\text{Slope}=\dfrac{5\times(-3)}{8\times(-3)}$

$\text{Slope}=\Large\boxed{\dfrac{5}{8}}$

Hope this helps!! :)

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