Question

Find the slope of the line that passes through each pair of points.

1. A(0,1), B(2,7)
2. C(2,5), D(3,1)
3. E(1,2), F(4,7)

Answer 1

the slope of line 1 is 3.

the slope of line 2 is -4

the slope of line 3 is 5/3

Answer 2

1)

`\sf Slope = (y_2-y_1)/(x_2-x_1) = (7-1)/(2-0) = (6)/(2) =\boxed{3}`

The slope of the line that passes through points (0,1) and (2,7) is 3

2)

`\sf Slope = (y_2-y_1)/(x_2-x_1) = (5-1)/(2-3) = (4)/(-1) =\boxed{-4}`

The slope of the line that passes through points (2,5) and (3,1) is -4

3)

`\sf Slope = (y_2-y_1)/(x_2-x_1) = (7-2)/(4-1) = (5)/(3) =\boxed{1(2)/(3)}`

The slope of the line that passes through points (1,2) and (4,7) is 5/3 or 1 2/3