The calculator given in this section can be used to find the equation of a line when a point on the line and its slope are given. Show
Let (x1, y1) be a point on the line and m be the slope of the line. Then, the formula to find the equation of a line is y - y1 = m(x - x1) But, the above equation can be written in the general form as shown below. ax + by + c = 0
Kindly mail your feedback to We always appreciate your feedback. ©All rights reserved. onlinemath4all.com You can find an equation of a straight line given two points laying on that line. However, there exist different forms for a line equation. Here you can find two calculators for an equation of a line:
Also, the text and formulas below the calculators describe how to find the equation of a line from two points manually. Slope-intercept line equation from two pointsFirst PointSecond pointCalculation precision Digits after the decimal point: 2 Parametric line equation from two pointsFirst PointSecond pointCalculation precision Digits after the decimal point: 2 How to find the equation of a line in slope-intercept formLet's find slope-intercept form of a line equation from the two known points and . Let's subtract the first from the second Note that b can be expressed like this Finally, we use the calculated a and b to write the result as Equation of a vertical lineNote that in the case of a vertical line, the slope and the intercept are undefined because the line runs parallel to the y-axis. The line equation, in this case, becomes Equation of a horizontal lineNote that in the case of a horizontal line, the slope is zero and the intercept is equal to the y-coordinate of points because the line runs parallel to the x-axis. The line equation, in this case, becomes How to find the slope-intercept equation of a line exampleProblem: Find the equation
of a line in the slope-intercept form given points (-1, 1) and (2, 4)
And here is how you should enter this problem into the calculator above: slope-intercept line equation example Parametric line equationsLet's find out parametric form of a line equation from the two known points and . Once we have
direction vector from to , our parametric equations will be Equation of a vertical lineNote that in the case of a vertical line, the horizontal displacement is zero because the line runs parallel to the y-axis. The line equations,
in this case, become Equation of a horizontal lineNote that in the case of a horizontal line, the vertical displacement is zero because the line runs parallel to the x-axis. The line equations, in this case, become How to find the parametric equation of a line exampleProblem: Find the equation of a line in the parametric form given points (-1, 1) and (2, 4)
How do you find equation of a line with the slope and a point?These are the two methods to finding the equation of a line when given a point and the slope: Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. Use the m given in the problem, and the b that was just solved for, to create the equation y = mx + b.
How do you find the equation of a line calculator?The procedure to use the equation of a line calculator is as follows:. Step 1: Enter the slope value and the y-intercept value in the given input field.. Step 2: Click the button “Solve” to get the line equation.. Step 3: The line equation will be displayed in the output field.. Equation of a Line, y = mx + b.. |