Determine the slope of the line that goes through this pair of points.?

Question

(0,4) and (5,0)

Answer 1

To find the slope given two points, all you have to do is plug in the values in the slope formula, which goes as follows:

m = (y2 - y1)/(x2 - x1)

By "y2", I don't mean y times 2, but I mean 2 as a subscript. In the above equation, m = slope between two points (x1,y1) and (x2,y2). Plugging in our values (0,4) and (5,0), we get

m = (0 - 4) / (5 - 0) = -4/5

So the slope of the line that goes through this pair of points is -4/5.

Answer 2

You have two pair of x and y coordinates. Subtract the y coordinates from each other, subtract the x coordinates from each other, divide the y difference by the x difference.

In other words, you have:

(y2 - y1) / (x2-x1) = (0 - 4) / (5 - 0) = -4/5

Answer 3

Remember that the slope is calculated as

m = (y2 - y1) / (x2 - x1)

So in this case, that's (0 - 4) / (5 - 0) = -4/5

Answer 4

Slope (m) is figured as the "rise" over the "run". In other words, the change in the y coordinates divided by the change in the x coordinates:

n = Δy/Δx

You have two points (x1, y1) and (x2, y2). In your example they are (0, 4) and (5, 0):

Δy = y2 - y1 = 0 - 4 = -4
Δx = x2 - x1 = 5 - 0 = 5

m = -4/5

Answer 5

-4/5