Answer:
The slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
We need to find slopes of AC and AD and tell if they are same or not.
The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Finding slope of AC
We have A=(3,2) and C=(0,1)
Finding slope using formula:
We have [tex]x_1=3, y_1=2, x_2=0,y_2=1[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-2}{0-3}\\Slope=\frac{-1}{-3}\\Slope=\frac{1}{3}[/tex]
So, Slope of AC is [tex]\frac{1}{3}[/tex]
Finding slope of AD
We have A=(3,2) and C=(9,4)
Finding slope using formula:
We have [tex]x_1=3, y_1=2, x_2=9,y_2=4[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{4-2}{9-3}\\Slope=\frac{2}{6}\\Slope=\frac{1}{3}[/tex]
So, Slope of AD is [tex]\frac{1}{3}[/tex]
So, the slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]
