Question

What is the slope of a line that passes through the points (1, 2) and (-2, 4)?

A. - 3/2
B. -2
C. -2/3
D. 2

Answer 1

The slope can be worked out by the equation:

`((y2 - y1) )/((x2-x1))`
So with the coordinates (1,2) and (-2,4):
x1 = 1 y1= 2 and x2 = -2 y2 =4
Note that x1 and y1 use the same coordinate, vice versa with x2 and y2.
Tip: The equation can be y1-y2 and x1-y2 too (have a think why)

`((y2 - y1) )/((x2-x1))`

`((4 - 2) )/((-2-1))`

`((2) )/((-3))`
So the answer is 2/-3, which is the same as C) -2/3