To use the Slope intercept calculator, follow the steps below.
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,
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 the linear equation of the line.
Here are the steps to find 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.
X1 = 3
X2 = 6
Y1 = -5
Y2 = 8
Step 2: Calculate the slope of the line.
Slope = m = y2 – y1 / x2 – x1
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
X1 = 11
X2 = 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 the 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
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