y = mx + b Calculator
Generate the exact slope-intercept equation of any straight line instantly. Input two coordinate points on a graph, or input a known slope and one coordinate point to automatically locate the y-intercept.
Point 1
Point 2
How to Build the Equation of a Line
The 'Slope Intercept Form' is the most popular way to express a straight line in mathematics. Why? Because the formula secretly holds the exact geographic instructions for how to draw the line on a piece of graphing paper without doing any extra math.
Understanding the Variables
- mThe Slope (Steepness)
This determines how fast the line rises or falls. It acts as the multiplier for x. A slope of 2 means for every 1 step right, you go 2 steps up.
- bThe Y-Intercept (Starting Point)
This is the exact number where the line crashes across the vertical Y-axis. The geographic coordinate is mathematically always (0, b).
- y & xThe Core Coordinates
These represent the infinite string of points that make up the solid line itself on the 2D plane.
Example: Converting 2 Points into the Equation
Imagine you have two known coordinate points: (1, 3) and (2, 5).
- Step 1: Calculate Slope (m)Formula:
(y₂ - y₁) / (x₂ - x₁) (5 - 3) / (2 - 1) = 2 / 1 = 2- Step 2: Solve for Y-Intercept (b)Plug the known slope (m=2) and point (1, 3) into the formula.
3 = (2)(1) + b 3 = 2 + b ➔ 1 = b- Final Equation ➔ y = 2x + 1
Frequently Asked Questions
Stuck on Geometry Homework?
Share this equation builder with your classmates to verify dense slope and y-intercept equations before turning in a test.
Suggested hashtags: #Algebra #Geometry #MathHelp #StudyTools #thecalcs