Question

What is the slope this line shown in the image?

Answer 1

1/6

Explanation:

The slope is 1/6 because the equation of this line is y = 1/6x - 12

y = mx + b

y = 1/6x - 12

m = slope

1/6 = slope

Answer 2

`\sf Slope (m) = (1)/(6)`

Explanation:

To find the slope (
`\sf m`) of the line passing through two points
`\sf (x_1, y_1)` and
`\sf (x_2, y_2)`,we can use the formula:

`\sf m = (y_2 - y_1)/(x_2 - x_1)`

Let's take the points
`\sf (-36, -18)` and
`\sf (36, -6)` from the straight line.

Substitute the value of points.

`\sf m = ((-6) - (-18))/(36 - (-36))`

Simplify the expression:

`\sf m = (12)/(72)`

Reduce the fraction by dividing both the numerator and denominator by their greatest common factor, which is 12:

`\sf m = (1)/(6)`

So, the slope (
`\sf m`) is
`\sf (1)/(6)`.