Question

Use the description of the pair of lines given below to find the slopes of Line 1 and Line 2. Line 1: Passes through (0,3) and (3,−15)Line 2: Passes through (−1,14) and (7,−34)

Answer 1

Step 1:

Slope formula is given below:

`\text{Slope = }(y_2-y_1)/(x_2-x_1)`

Step 2:

Line 1 given data

Points ( 0 , 3) and ( 3 , -15)

`\begin{gathered} x_1\text{ = 0} \\ y_1\text{ = 3} \\ x_2\text{ = 3} \\ y_2\text{ = -15} \end{gathered}`

Step 3:

`\begin{gathered} \text{Slope of line 1 = }\frac{-15\text{ - 3}}{3\text{ - 0}} \\ =\text{ }(-18)/(3) \\ =\text{ -6} \end{gathered}`

Step 4:

Line 2: Points ( -1 , 14) and (7 , -34)

Next, find the slope

`\begin{gathered} \text{Slope of line 2 = }\frac{-34\text{ -14}}{7\text{ -(-1)}} \\ =\text{ }(-48)/(8) \\ =\text{ -6} \end{gathered}`