# What is the slope of the line that passes through (3, -7) and (-1, 1)?

Undefined, 0, -2, 2

**Solution:**

Given that a line passes through the two points (3, -7) and (-1, 1)

The slope of the line that passes through (x_{1}, y_{1}) and (x_{2}, y_{2}) is given by:

Slope(m) = (y_{2} - y_{1})/(x_{2} - x_{1})

Here x_{1 }= 3, y_{1 }= -7 and x_{2 }= -1; y_{2 }= 1

Substitue (x_{1}, y_{1}) and (x_{2}, y_{2}) with their given values.

⇒ y - (-7)/1 - (-7) = x - 3/-1 - 3

⇒ y + 7/1 + 7 = x - 3/-4

⇒ (y + 7)/8 = (x - 3)/-4

⇒ y + 7/2 = -(x - 3)

⇒ y + 7 = -2(x - 3)

⇒ y + 7 = -2x + 6

⇒y = -2x + 6 - 7

⇒y = -2x -1

This is in standard form y = mx + c, where m is the slope of the line and c is the intercept

Hence, the slope is -2.

## What is the slope of the line that passes through (3, -7) and (-1, 1)?

**Summary:**

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