Find the slope of the line between 2 points.
Slope = `(rise)/(run) = (Deltay)/(Deltax)`
The points (3, -5) and (2, -9)
So, `(-5 - (-9)) / (3 - 2)`
`4/1 = 4`
Therefore, the slope between the 2 given points is: `4`
Slope of the line passing through points `(x_1,y_1)` and `(x_2,y_2)` is
So in your case the slope is `k=(-9-(-5))/(2-3)=(-4)/-1=4`
Slope(m) can be found by taking the difference of the y values over the difference of the x values. That is to say, slope is the rise divided by the run. This value is expressed by the following equation:
m= (y2-y1)/(x2-x1), where coordinates are (x1,y1) and (x2,y2)
In this problem: x1=3, y1=-5, x2=2, and y2=-9.
When plugged into the equation: m= (-9 - (-5))/(2-3)
m = 4