Slope Ratio Calculator

The slope is defined as ratio of change of x axis to change of y axis. The slope intercept form is y = mx + b. Where m is slope and b is y intercept.

Slope formula is (m) =`"vertical" /"horizontal"`.

The slope form (m) is = `(y_2 - y_1)/(x_2 - x_1)` = `"rise"/"run"` .

We will learn about the slope ratio calculator example problems and practice problems are given below.

Example Problems for Slope Ratio Calculator:

Slope ratio calculator:





Example problem 1:

Find the slope ratio of a line, which contains two points A (0, 1), B (10, 2).

Solution:



The slope of a line which contains two points (x1, y1) and (x2, y2) is given by,

Here, x1 = 0, x2 = 10, y1 = 1, y2 = 2.

Slope of the line, m = `(y_2 - y_1)/(x_2 - x_1)`

= `(2 - 1)/(10 - 0)`

After simplify this, we get

= `1/(10)`

Slope of the line (m) = `1/(10)`

So, the slope ratio of a line, which contains two points A (0, 1), B (10, 2) is `1/(10)` = 0.1



Example problem 2:

Find the slope ratio of a line, which contains the two points A (-13, 10), B (2, -20).



Solution:

The slope of a line which contains two points (x1, y1) and (x2, y2) is given by,

Here, x1 = -13, x2 = 2, y1 = 10, y2 = -20.

Slope of the line, m = ` (y_2 - y_1)/(x_2 - x_1)`

=  `(-20 - 10)/(2 + 13)`

After simplify this, we get

= ` (-30)/(15)`

Slope of the line (m) = -2

So, the slope ratio of a line, which contains the two points A (-13, 10), B (2, -20) is -2

These examples problem are helpful to study of slope ratio calculator.

Practice Problems for Slope Ratio Calculator:

Practice problem 1:

Find the slope of a line, which contains two points A (9, 0), B (0, 3).

Answer: Slope (m) = -0.3333

Practice problem 2:

Find the slope of a line, which contains two points A (10, 200), B (300, 20).

Answer: Slope (m) = -0.620