Question

Find the slope of the line that contains the points named. P(1, 2), Q(3, 4) -1 1 2

Answer 1

1

Explanation:

The slope m of a line is given by the formula

m = (y₂ - y₁)/(x₂ - x₁)

Given that the points on the line are P(1, 2), Q(3, 4). This corresponds with (x₁,y₁) and (x₂,y₂)

m = (y₂ - y₁)/(x₂ - x₁) = (4 - 2)/(3 - 1) = 2/2 = 1

The slope of the line which is the change between the y and x axis is 1.

Answer 2

If the coordinates of at least two points in the line are given, the slope (m) may be calculated by,
m = (y2 - y1) / (x2 - x1)
Substituting the values of the coordinates,
m = (4 - 2) / (3 - 1) = 1
Thus, the slope of the line is 1.