Question

warm - up consider lines ab and cd. type the correct answer in each box. use numerals instead of words. use / for a fraction bar. the slope of line ab is. the slope of line cd is

Explanation:

Step1: Identify points on line AB

Let \(A=(-7,2)\) and \(B = (-5,6)\) (estimated from the graph).

Step2: Use slope - formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\) for line AB

\(m_{AB}=\frac{6 - 2}{-5-(-7)}=\frac{4}{2}=2\)

Step3: Identify points on line CD

Let \(C=(1,-4)\) and \(D=(6,8)\) (estimated from the graph).

Step4: Use slope - formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\) for line CD

\(m_{CD}=\frac{8-(-4)}{6 - 1}=\frac{12}{5}\)

Answer:

The slope of line AB is \(2\).
The slope of line CD is \(\frac{12}{5}\).