Form a right triangle Plot a 3rd point (5,4) Our first triangle side = 5 - 1 = 4 Our second triangle side = 6 - 4 = 2
Using the slope we calculated Tan(Angle1) = 0.5 Angle1 = Atan(0.5) Angle1 = 26.5651° Since we have a right triangle We only have 90° left Angle2 = 90 - 26.5651° = 63.4349
Calculate the y intercept of our line
The y intercept is found by Setting x = 0 in y = 1/2x + 1/0.28571428571429 y = 1/2(0) + 1/0.28571428571429 y = 1/0.28571428571429
Find the parametric equations for the line
Parametric equations are written as (x,y) = (x0,y0) + t(b,-a)
ANSWERS: <-- Slope
<-- Slope Intercept Form Line Equation
<-- Distance between points
<-- Midpoint
<-- Angle 1
<-- Angle 2
<-- Y intercept
What is the Answer?
Slope (m) = 1/2 or 0.5
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)
What 9 concepts are covered in the Line Equation-Slope-Distance-Midpoint-Y intercept Calculator?
angle
the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
distance
interval between two points in time d = rt
line equation
parametric equation
defines a group of quantities as functions of one or more independent variables called parameters.
point slope form
show you how to find the equation of a line from a point on that line and the line's slope. y - y1 = m(x - x1)
slope
Change in y over change in x
symmetric equations
an equation that presents the two variables x and y in relationship to the x-intercept a and the y-intercept b of this line represented in a Cartesian plane
y-intercept
A point on the graph crossing the y-axis
Example calculations for the Line Equation-Slope-Distance-Midpoint-Y intercept Calculator