Question

Find the slope of the line containing the points (-2,1) and (3,4).

Answer 1

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

The formula to find the slope is

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

Where (x1, y1) and (x2, y2) are the two points

The two points given are (-3, 4) and (2, -1)

Substituting it in the formula

m = (-1 - 4)/ (2 - (-3))

By further calculation

m = -5/ (2 + 3)

So we get

m = -5/5

m = -1

Therefore, the slope of the line is -1.

Answer 2

Answer: 0.6

Explanation:

The slope is the change in y over the change in x. y is 4-1 = 3. x is 3 - (-2) = 5

Slope is 3/5 or 0.6

[The y intercept is 2.2, so the equation of a line going through these two points is y = 0.6x + 2.2]