Question

Using the slope formula, find the slope of the line through the given points.
(9,4) and (6,7)

Answer 1

The slope of the line is -1.

We can find this by using the slope formula, where
`(y_(2) -y_(1) )/(x_(2)-x_(1) )`. Substitute in our points;
`(7-4)/(6-9) =(3)/(-3)`. Remember that a negative in either the numerator or the denominator of a fraction makes the entire fraction negative, so
`(3)/(-3)=-(3)/(3)` Remember that an identical numerator and denominator is equal to 1. Same rule applies here, except it's negative, so the slope of the line is -1. You can see this in action if you were to use a graphing tool. I recommend checking out desmos graphing calculator.