Question

What is the slope of the line that passes through the points (6,2) and (4,10)?

a. -1/4
b. -4
c. 4
d. 1/4

Answer 1

Use the slope formula

\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 2

(x1,y1) = (6,2) is your first point
(x2,y2) = (4,10) is your second point

Answer 3

\[m = \frac{ y2 - y1 }{ x2 - x1 }\]
All we need to do is plug in the two points.
(6,2) and (4,10)
6 is x1. 2 is y1.
4 is x2. 10 is y2.
Plug them in. \[m = \frac{ 10 - 2 }{ 4 - 6 } = \frac{ 8 }{ -2 } = -4\]
So, the answer is B. -4

Does this clarify things? (: