# How do you calculate the slope of (0,0) and (2,6)?

##### 1 Answer

Aug 21, 2015

#### Explanation:

For two points written in the general form

#color(blue)((x_1"," y_1))" "# and#" "color(blue)((x_2"," y_2))#

the slope of the line that passes through both of these points is defined as

#color(blue)("slope" = m = ((y_2 - y_1))/((x_2 - x_1)))#

In your case, you have

#{(x_1 = 0), (y_1 = 0) :}" "# and#" "{(x_2 = 2), (y_2 = 6) :}# .

This means that the slope will be equal to

#m = (6 - 0)/(2 - 0) = 6/2 = color(green)(3)#

To plot the line, use the formula

#color(blue)(y - y_i = m * (x- x_i))#

Plug in the coordinates of one of the two points to get

#y - y_1 = m * (x-x_1)#

#y - 0 = 3 * (x - 0)#

#y = 3x#

graph{3x [-10, 10, -5, 5]}