Question

What is the slope of the line passing through the following points: `(-9,1) , (-4, -2)`?

Answer 1

`-3/5`

Explanation:

General form of a straight line is `y= ax + b`
`=> 1 = -9a +b` and `-2 = -4a +b`
`b = 1 +9a`
`-2 = -4a +(1 +9a)`
`-3 = 5a`
`a = -3/5`
`b = 1 + 9*(-3/5) = 1-27/5 = -22/5`
`5y = -3x - 22`

The slope is given by a