CALCULATOR
Intersection x of Two Lines with Separated Slopes Calculator
Intersection x of Two Lines with Separated Slopes. Example: Slope: 2 number, Gap: 1 number, B1: 3 number, B2: 1 number gives 2 number. Slopes parameterized with positive separation g; no parallel/coincident case support. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Slopes parameterized with positive separation g; no parallel/coincident case support. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Equate y values; subtract m x; g positive prevents parallel lines.
Accepted inputs: Slope: -10 to 10 number; Gap: 0.1 to 10 number; B1: -100 to 100 number; B2: -100 to 100 number.
How the calculation works
Lines y=m x+b1 and y=(m+g)x+b2; x=(b1-b2)/g
Worked example
With slope 2 number, gap 1 number, b1 3 number, b2 1 number, intersection x of two lines with separated slopes is 2 number.
Assumptions and limits
Slopes parameterized with positive separation g; no parallel/coincident case support. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Equate y values; subtract m x; g positive prevents parallel lines.