Step 1:
Slope formula is given below:
[tex]\text{Slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]Step 2:
Line 1 given data
Points ( 0 , 3) and ( 3 , -15)
[tex]\begin{gathered} x_1\text{ = 0} \\ y_1\text{ = 3} \\ x_2\text{ = 3} \\ y_2\text{ = -15} \end{gathered}[/tex]Step 3:
[tex]\begin{gathered} \text{Slope of line 1 = }\frac{-15\text{ - 3}}{3\text{ - 0}} \\ =\text{ }\frac{-18}{3} \\ =\text{ -6} \end{gathered}[/tex]Step 4:
Line 2: Points ( -1 , 14) and (7 , -34)
Next, find the slope
[tex]\begin{gathered} \text{Slope of line 2 = }\frac{-34\text{ -14}}{7\text{ -(-1)}} \\ =\text{ }\frac{-48}{8} \\ =\text{ -6} \end{gathered}[/tex]