Question

Find the slope of the line going through the points (0,6) and (-3,9)

Answer 1

The slope of the line going through the points is -1

The slope of the line can nbe obtained using the relation :

• Change in y / Change in x

Change in y = 9 - 6 = 3

Change in x = -3 - 0 = -3

The slope = 3/-3 = -1

Hence, the slope of the line going through the points is -1

Answer 2

The slope of the line is 5.

The point slope form of the line is y=5x+6.

Explanation:

We can find the slope using this formula:
`(y_(2) )/(x_(2) ) -(y_(1) )/(x_(1) )`

`(6)/(0) -(9)/(-3) =`

`(6)/(0) -(-(9)/(3) )=`

`(6)/(0) +(9)/(3) =`

`(15)/(3) =`

5

The slope of the line is 5.

To find point slope form, we use the equation y=mx+b where m is the slope and b is the y-intercept.

The y-intercept of this slope is 6 and the slope is 5 so we get, y=5x+6