Question

What is the slope of the line passing through the points (3,-4) and (5,4)?

A) 1
B) -1
C) 2
D) -2

Answer 1

The slope of the line is 4. The correct answer is not among the provided options.

Explanation:

The slope (m) of a line passing through two points
`\((x_1, y_1)\)` and
`\((x_2, y_2)\)` is given by the formula:

`\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]`

Let's use this formula for the given points (3, -4) and (5, 4):

`\[ m = \frac{{4 - (-4)}}{{5 - 3}} \]`

`\[ m = \frac{{8}}{{2}} \]`

`\[ m = 4 \]`

So, the slope of the line is 4. The correct answer is not among the provided options.