Question

A line contains the points (-26, -37) and (-32,-61)

what is the slope of the line is simplest form?

Answer 1

Let the points be A(-26, -37) and B(-32, -61). And let a be the slope.
To find the slope using the known coordinates of 2 points from the line, we use the equation:
a = Δy / Δx
In which Δy represents the subtraction of the y coordinates of the 2 points (Δy = yB - yA) and Δx represents the subtraction of the x coordinates of the 2 points (Δx = xB - xA).

So a = Δy / Δx
= yB - yA / xB - xA
= -61 + 37 / -32 + 26
= -24 / -6

In the simplest form, we divide the numerator and denominator by 6.
- 24 / -6 = 24 / 6 = 4 / 1 = 4.

So the slope of the line which contains the points (-26, -37) and (-32, -61) is a=4.

Hope this helps! :)