Answer:
The types of slope for each pair are:
(2, 4) and (5, 1) => Negative
(3,5) and (-1,2) => Positive
(-7, 8) and (-7,0) => Undefined
(6.-3) and (4, -3) => Zero
Step-by-step explanation:
We will find the slope of each line to check the type of slope.
Slope is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point
Now,
(2, 4) and (5, 1)
[tex]m = \frac{1-4}{5-2} = \frac{-3}{3} =-1[/tex]
The slope is negative.
(3,5) and (-1,2)
[tex]m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}[/tex]
The slope is positive
(-7, 8) and (-7,0)
[tex]m = \frac{0-8}{-7+7} = \frac{-8}{0}[/tex]
division by zero makes the slope undefined.
(6.-3) and (4, -3)
[tex]m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0[/tex]
The slope is zero
Hence,
The types of slope for each pair are:
(2, 4) and (5, 1) => Negative
(3,5) and (-1,2) => Positive
(-7, 8) and (-7,0) => Undefined
(6.-3) and (4, -3) => Zero
