Search results
The equation of a straight line can be written in many other ways. Another popular form is the Point-Slope Equation of a Straight Line. 358,359,517,518, 1156, 1157 ...
- Calculate The Straight Line Graph
If you know two points, and want to know the y=mxb formula...
- Y Intercept
Point. The y-intercept is an (x,y) point with x=0, so we...
- Slope
A line that goes straight across (Horizontal) has a Slope of...
- Gradient
A line that goes straight across (Horizontal) has a Gradient...
- Contact Us
Your Name: (use "Anon" if you don't want to give your real...
- About Math is Fun
The Idea. We offer mathematics in an enjoyable and...
- Least Squares Calculator
Least Squares Regression is a way of finding a straight line...
- Calculate The Straight Line Graph
May 19, 2023 · Definition: POINT-SLOPE FORM OF A LINE. If line L passes through the point (x1, y1) and has slope m, then the equation of the line is y − y1 = m(x − x1) This form of the equation of a line is called the point-slope form. To use the point-slope form of a line, follow these steps.
The word line may also refer, in everyday life, to a line segment, which is a part of a line delimited by two points (its endpoints). Euclid's Elements defines a straight line as a "breadthless length" that "lies evenly with respect to the points on itself", and introduced several postulates as basic unprovable properties on which the rest of geometry was established.
- Overview
- Calculating the Equation with One Point and the Slope
- Finding the Equation Using Two Points
Finding the equation for a line is a common problem in geometry and trigonometry. There are two common situations where you are asked to find the equation for a line: either you'll be provided with one point on the line and the slope of the line, or you'll be provided two points on the line. In either case, finding the equation for that line isn't ...
Plug the slope in for
This is known as the point-slope formula.
The point-slope formula uses the slope and the coordinates of a point along the line to find the y-intercept. Use the slope in place of
For example, if you know the slope of the line is 2, then your formula will look like this:
with the coordinates of the point.
Use the coordinates you’re given as (x
The ordered pairs of the coordinates you have are listed as (x, y). Use the first set of coordinates as (x
) and the second set as (x
Plug the numbers into the formula
For example, if your coordinates are (3, 8) and (7, 12), the formula would read:
= (12-8)/ (7-3) = 4/4 =
In this case, your slope, or
- 951.9K
A line is completely determined by two points, or by a point and slope. The information we are given about a particular line will influence which form of the equation is most convenient to use. Once we know any form of the equation of a line, it is easy to re-express the equation in the other forms if needed.
Oct 6, 2022 · To Find an Equation of a Line Given the Slope and a Point. Identify the slope. Identify the point. Substitute the values into the point-slope form, \(y−y_{1}=m(x−x_{1})\). Write the equation in slope-intercept form. To Find an Equation of a Line Given Two Points. Find the slope using the given points. Choose one point.
People also ask
How is a line determined?
How do you write an equation of a line?
How do you find the equation for a line with points?
How do you calculate a line passing through points?
What is the point slope form of an equation of a line?
How do you find a line with a slope intercept?
Oct 4, 2024 · To compute the equation of the line passing through points (x1, y1) and (x2, y2): Compute the slope as a = (y2-y1) / (x2-x1). Compute the intercept as b = y1 - a × x1. The equation you need reads y = a × x + b, with a an b computed as above. If x2 = x1, you cannot compute a — the line is vertical and has equation x = x1.
