Answer :
How to work out slope of a line:
Take the y coordinate of the first point, and subtract it from the y coordinate of the the second point, like so:
y₁ - y₂ = 2 - 1
= 1
(note: y₁ is the y coordinate of the first point, and y₂ is the y coordinate of the second point)
Next, take the x coordinate of the first point and subtract it from the x coordinate of the second point, like so:
x₁ - x₂ = 5 - 8
= -3
(note: x₁ is the x coordinate of the first point, and x₂ is the x coordinate of the second point)
----------------------------------------------
Now to get the slope, all we do is divide the value of (y₁ - y₂) by (x₁ - x₂):
[tex]slope = \frac{y1 - y2}{x1-x2}[/tex]
[tex]slope = \frac{1}{-3}[/tex]
[tex]slope = -\frac{1}{3}[/tex]
_______________________________________________
Answer:
The slope of a line that passes through (5, 2) and (8, 1) is:
[tex]slope = -\frac{1}{3}[/tex]