What is the slope of the line passing through the following points: ( 7,2 ) , ( 4,16 ) ?

2 Answers
May 22, 2018

m= -14/3

Explanation:

Formula for some m is:

m=(y_2-y_1)/(x_2-x_1)

let's use:

1: (7,2)
2:(4,16)

it doesn't mater which you choose as 1 or 2:

m=(16-2)/(4-7) = -14/3

so:

m= -14/3

May 22, 2018

The slope is -14/3

Explanation:

Using the slope formula, you can solve the slope of a line going through any two points. The slope formula is:

m = (y_2 - y_1)/(x_2-x_1)

Remember the points are in the form (x,y). I'm going to call (7,2) Point 1, so:

x_1 = 7
y_1 = 2

I'll call (4,16) Point 2, so:

x_2 = 4
y_2 = 16

Now substitute those values into the equation:

m = (y_2 - y_1)/(x_2-x_1)

m = (16 - 2)/(4-7)

m = 14/-3

m = -14/3

The slope of this line is -14/3.