y mx b calculator
Y mx b calculator Or Slope-Intercept Calculator solves for the slope-intercept form (y = mx + b) from two points or graphs a line from given slope and y-intercept, with detailed steps and visualization.
Result:
Formulas Used
For a line in slope-intercept form y = mx + b
:
- Slope:
m = (y₂ - y₁) / (x₂ - x₁)
- Y-Intercept:
b = y₁ - m * x₁
- Line Equation:
y = m * x + b
Examples and Solutions
- Example 1: Points:
(2,3)
,(4,7)
Solution: Slope:2
, Y-Intercept:-1
, Equation:y = 2x - 1
- Example 2: Points:
(0,5)
,(3,2)
Solution: Slope:-1
, Y-Intercept:5
, Equation:y = -x + 5
- Example 3: Slope:
0.5
, Y-Intercept:2
Solution: Equation:y = 0.5x + 2
- Example 4: Points:
(1,1)
,(5,5)
Solution: Slope:1
, Y-Intercept:0
, Equation:y = x
- Example 5: Slope:
-2
, Y-Intercept:3
Solution: Equation:y = -2x + 3