what is the slope of the line through (3, 4) and (0, 2).

Question

the slope of the line through (3, 4) and (0, 2).

Answer 1

Formula for slope is (y₂ - y₁)/(x₂ -x₁).

 

 

Label your coordinates (3, 4) as (x₁, y₁) as your first set of coordinates.

 

Label your coordinates (0, 2) as (x₂, y₂) as your second set of coordinates.

 

 

Plug those values into your slope formula and simplify:

 

 

(2 - 4)/(0 - 3)  =    (-2)/(-3)   =  2/3 is the slope of this line.

 

Answer 2

Identify one of these points as P1 with coordinates (x1,y1). Then the other point is P2 with coordinates (x2,y2).

 

The formula for slope is as follows:     (y2-y1)/(x2-x1). Let (0,2) be P1. Then (3.4) is P2. and we can substitute the corresponding values for x1,x2,y1,and y2 so we get (4-2)/(3-0) = 2/3.

 

The slope of this line is 2/3.

 

Another way to do this: If you can picture in your mind (or draw a sketch).ask yourself how could I get to (3,4) starting from (0,2) ? The answer is to go up 2 units and right 3 units, or rise 2 and run 3. slope is defined as rise/run so this gives a slope of 2/3 as well.