Question

Find the slope of a line that passes through the points (2, 3) and (0, 2).
(slope, 50 points.)

Answer 1

Slope = 0.5

Explanation:

Given: Line passes through (2, 3) and (0, 2)

`\text{Slope formula} = \frac{\text{Rise}}{\text{Run}} = (y_2 - y_1)/(x_2 - x_1)`

Substitute the coordinates in the formula and solve for the slope;

`\implies \text{Slope formula} = (y_2 - y_1)/(x_2 - x_1)`

`\implies\text{Slope formula} = (2 - 3)/(0 - 2)`

`\implies\text{Slope formula} = (-1)/(-2)`

`\implies\text{Slope formula} = (1)/(2) = 0.5`

Therefore, the slope of the line is 0.5.

Answer 2

1/2

Explanation:

To find the slope, we can use the slope formula

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

= ( 2-3)/(0-2)

= -1/-2

= 1/2