Question

I gotta find the slope of the table but I do not understand how to do it

Answer 1

`\begin{gathered} \text{slope}_a=4 \\ \text{slope}_b=-(3)/(4) \end{gathered}`

Step-by-step explanation

Step 1

when you have 2 points of a line (P1 and P2) you can find the slope using:

`\begin{gathered} \text{slope}=(\Delta y)/(\Delta x)=\frac{change\text{ in y}}{\text{change in x}}=(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_(1,)y_1) \\ P2(x_2,y_2) \end{gathered}`

then, for table 1 pick 2 points

Let

P1(1,2)

P2(3,10)

replace

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(10-2)/(3-1)=(8)/(2)=4 \end{gathered}`

Step 2

now, for table b

Let

P1(-6,8)

P2(-2,5)

replace

`\begin{gathered} \text{slope}=(5-8)/(-2-(-6))=(-3)/(-2+6)=(-3)/(4)=-(3)/(4) \\ \text{slope}_b=-(3)/(4) \end{gathered}`

I hope this helps you