Question

3. Find the slope of the line that passes through the given points:a. (-3, 4) and (7, -8)b. (14, -10) and (3, -2)

Answer 1

a)-6/5

b)-8/11

Step-by-step explanation

when you have two points of a line P1 and P2, the slope is given by:

`\begin{gathered} \text{Slope}=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}`

Step 1

a)

i)Let

P1(-3,4)

P2(7,-8)

II) replace

`\begin{gathered} \text{Slope}=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \text{Slope}=(-8-4)/(7-(-3)) \\ \text{slope}=(-12)/(7+3)=-(12)/(10)=-(6)/(5) \\ \text{slope}_a=-(6)/(5) \end{gathered}`

Step 2

b)

I)Let

P1(14,-10)

P2(3,-2)

II) replace

`\begin{gathered} \text{Slope}=(y_2-y_1)/(x_2-x_1) \\ \text{Slope}=(-2-(-10))/(3-14) \\ \text{Slope}=(-2+10)/(-11)=-(8)/(11) \\ \text{Slope}_b=-(8)/(11) \end{gathered}`

I hope this helps you