Line Equation-Slope-Distance-Midpoint-Y intercept Calculator
With a slope of 4 A point (x1, y1) = (3, 2): Calculate the point-slope form.
The standard line equation is y = mx + b
Rearrange that equation to solve for b we get b = y - mx.
Plug in our known values
b = 2 - (4 * 3) b = 2 - 12 b = -10
Calculate the y intercept
The y intercept is found by Setting x = 0 in y = 4x - 10 y = 4(0) - 10 y = -10
Calculate the point-slope form:
y - y1 = m(x - x1) y - 2 = 4(x - 3)
Build our standard line equation
y = 4x - 10
What is the Answer?
y = 4x - 10
How does the Line Equation-Slope-Distance-Midpoint-Y intercept Calculator work?
Free Line Equation-Slope-Distance-Midpoint-Y intercept Calculator - Enter 2 points, and this calculates the following: * Slope of the line (rise over run) and the line equation y = mx + b that joins the 2 points * Midpoint of the two points * Distance between the 2 points * 2 remaining angles of the rignt triangle formed by the 2 points * y intercept of the line equation * Point-Slope Form * Parametric Equations and Symmetric Equations
Or, if you are given a point on a line and the slope of the line including that point, this calculates the equation of that line and the y intercept of that line equation, and point-slope form.
Also allows for the entry of m and b to form the line equation This calculator has 7 inputs.
What 6 formulas are used for the Line Equation-Slope-Distance-Midpoint-Y intercept Calculator?
m = (y2 - y1) / (x2 - x1) y = mx + b Distance = Square Root((x2 - x1)2 + (y2 - y1)2) Parametric equations are written in the form (x,y) = (x0,y0) + t(b,-a) Midpoint = ((x2 + x1)/2, (y2 + y1)/2)