Question

Find the slope of the line that passes through (-95, 31) and (-94, 6).

Answer 1

The slope of the line that passes through (-95, 31) and (-94, 6) is -25.

Explanation:

The equation of a line has the following format:

`y = ax + b`

In which a is the slope.

Passes through the point (-95, 31).

When
`x = -95, y = 31`

`y = ax + b`

`31 = -95a + b`

Passes through the point (-94, 6).

When
`x = -94, y = 6`

`y = ax + b`

`6 = -94a + b`

We have to solve the following system:

`31 = -95a + b`

`6 = -94a + b`

We want to find a.

From the first equation

`b = 31 + 95a`

Replacing in the second equation:

`6 = -94a + 31 + 95a`

`a = -25`

The slope of the line that passes through (-95, 31) and (-94, 6) is -25.