Question

Find the slope between these two points: (3, -10) and (-2, -30). Show all of your work. what the answer

Answer 1

Answer:

4

Step-by-step explanation:

slope equation is y2-y1/x2-x1

insert points: -30-(-10)/-2-3

simplify: -30+10/-5

simplify further: -20/-5

negatives cancel because there cannot be both on top, making it positive: 20/5

divide: 20/5=4

Answer 2

$\hugem=\boxed{4}$

Hey there! Start with the slope formula, where $(x_1,y_1)$ and $(x_2,y_2)$ are the two known points.

$\begin{aligned}m&=\dfrac{y_2-y_1}{x_2-x_1}\\&=\frac{-30-(-10)}{-2-3}\end{aligned}$

Simplify.

$\begin{array}{c|l}\textbf{Solving}&\textbf{Reason}\\\cline{1-2}\\m=\dfrac{-30+10}{-2-3}&x-(-y)=x+y\\\\m=\dfrac{-20}{-5}&\text{Addition and subtraction}\\\\m=\dfrac{20}{5}&\text{The negatives cancel out}\\\\m=\dfrac{4}{1}&\text{Divide the numerator and denominator by 5 }\\\\m=\boxed{4}&\dfrac{x}{1}=x\end{aligned}$