Answer:
The slope of line through (2, 4) and (5, 1) is Negative
The slope of line through (3,5) and (-1,2) is Positive
The slope of line through (-7, 8) and (-7,0) is Undefined
The slope of line through (6.-3) and (4, -3) is Zero
Step-by-step explanation:
Slope is defined as the steepness of a line.
Slope is denoted by m and the formula for calculating slope is:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here
(x1,y1) and (x2,y2) are coordinates of the points through which the line passes
Now,
For (2, 4) and (5, 1):
[tex]m = \frac{1-4}{5-2} = \frac{-3}{3} =-1[/tex]
NEGATIVE
For (3,5) and (-1,2)
[tex]m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}[/tex]
POSITIVE
For (-7, 8) and (-7,0)
[tex]m = \frac{0-8}{-7+7} = \frac{-8}{0}[/tex]
UNDEFINED
For (6.-3) and (4, -3)
[tex]m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0[/tex]
ZERO
Hence,
The slope of line through (2, 4) and (5, 1) is Negative
The slope of line through (3,5) and (-1,2) is Positive
The slope of line through (-7, 8) and (-7,0) is Undefined
The slope of line through (6.-3) and (4, -3) is Zero
