Question

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

Answer 1

4

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

`\huge\text{$m=\boxed{4}$}`

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&=(y_2-y_1)/(x_2-x_1)\\&=(-30-(-10))/(-2-3)\end{aligned}`

Simplify.

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