Answer:
Part a) The slope of line that passes through the points A (10,4) and B (-2 , -5) is [tex]\mathbf{Slope=\frac{3}{4} }[/tex]
Part b) The slope of line that passes through the points C (-7 ,1) and D (7, 8) is [tex]\mathbf{Slope=\frac{1}{2} }[/tex]
Step-by-step explanation:
Part I: Find the slope of the line that passes through the following points.
Part a)
A (10,4) and B (-2 , -5)
We need to find slope of the line that passes through the given points.
The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can take any two points and the slope will be same.
I am taking points A (10,4) and B (-2 , -5) and finding slope
We have [tex]x_1=10, y_1=4, x_2=-2,y_2=-5[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-5-4}{-2-10} \\Slope=\frac{-9}{-12}\\ Slope=\frac{3}{4}[/tex]
So, the slope of line that passes through the points A (10,4) and B (-2 , -5) is [tex]\mathbf{Slope=\frac{3}{4} }[/tex]
Part a)
C (-7 ,1) and D (7, 8)
We need to find slope of the line that passes through the given points.
The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can take any two points and the slope will be same.
I am taking points C (-7 ,1) and D (7, 8) and finding slope
We have [tex]x_1=-7, y_1=1, x_2=7,y_2=8[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-1}{7-(-7)} \\Slope=\frac{7}{14}\\ Slope=\frac{1}{2}[/tex]
So, the slope of line that passes through the points C (-7 ,1) and D (7, 8) is [tex]\mathbf{Slope=\frac{1}{2} }[/tex]
