To use the Slope intercept calculator, follow the steps below.

- Select the type of input i.e., Two points, 1 Point and slope, or Y-intercept and slope
- Enter the values of the required input fields.
- Hit the calculate button
- To enter new values, click the reset button.

Result

**Data:**

**Formula:**

**Solution:**

Slope intercept calculator is used to find the equation of the line using two points, one point & slope, and y-intercept & slope. This slope intercept equation calculator will give the step-by-step solution to the given problems.

A slope intercept form is a specific form of the straight-line equation. The general expression of the slope intercept form is:

Y = mx + b

Where,

- X & Y are the fixed points of the line.
- “m” is the slope (steepness) of the line.
- “b” is the y-intercept of the line.

The equation of the straight line can be determined with the help of point slope form and the slope intercept form but the slope intercept form is the most accurate and prominent form of linear equation of the line.

Here are the steps to find the slope intercept form.

- First of all, calculate the slope (m) of the line.
- After that, evaluate the y-intercept (b) of the line.
- Substitute the values of slope and y-intercept of the line to the general expression of the slope intercept form.

Let us take a few examples to learn how to determine the linear equation of the line by using the slope intercept form.

**Example 1: For two points**

Calculate the linear equation of the line if the given points are (3, -4) & (6, 8).

**Solution**

**Step 1:** First of all, take the given points of the line.

X_{1} = 3

X_{2} = 6

Y_{1} = -5

Y_{2} = 8

**Step 2:** Calculate the slope of the line.

Slope = m = y_{2} – y_{1} / x_{2} – x_{1}

Slope = m = 8 – (-4) / 6 – 3

Slope = m = 8 + 4 / 3

Slope = m = 12/3 = 4

**Step 3:** Now evaluate the y-intercept of the line.

Y = mx + b

-4 = 4(3) + b

b = -4 -12 = -16

**Step 4:** Now put the slope and y-intercept to the general expression of the slope intercept of the line.

Y = mx + b

Y = 4x + (-16)

Y = 4x – 16

**Example 2: For one point and slope**

Calculate the linear equation of the line if the slope of the line is 12 and points are (11, 4).

**Solution**

**Step 1:** First of all, take the given slope and the points of the line.

Slope = m = 12

X_{1} = 11

X_{2} = 4

**Step 2:** Now evaluate the y-intercept of the line.

y = mx + b

4 = 12(11) + b

b = 4 – 132 = -128

**Step 3:** Now put the slope and y-intercept to the general expression of the slope intercept of the line.

Y = mx + b

Y = 12x + (-128)

Y = 12x – 128

**Example 3: For slope & y-intercept**

Calculate the linear equation of the line if the slope of the line is 5 and y-intercept of the line is -3.

**Solution**

**Step 1:** First of all, take the given slope and y-intercept of the line.

Slope = m = 12

y-intercept = b = -3

**Step 2:** Now put the slope and y-intercept to the general expression of the slope intercept of the line.

Y = mx + b

Y = 12x + (-3)

Y = 12x – 3

- what is slope intercept form? Study.com | Take Online Courses.
- calculating slope intercept form. KATE'S MATH LESSONS. (n.d.).

The formula of the slope intercept form is:

y = mx + b

9 months ago

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