General equation of a line
What is the general equation of a horizontal line?
For any horizontal line, the general equation will always be y = b (y-intercept) because a horizontal line does not have slope.
What are the three equations of a line?
There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article. There are three main forms of linear equations.
How do you find the general linear equation given two points?
Equation from 2 points using Slope Intercept FormCalculate the slope from 2 points.Substitute either point into the equation. You can use either (3,7) or (5,11)Solve for b, which is the y-intercept of the line.Substitute b, -1, into the equation from step 2.
How do you write the equation of a straight line?
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
What is an example of a horizontal line?
An equation that only crosses the y-axis is a horizontal line. For example: y=5 is a horizontal line that crosses the y-axis at (0,5).
What does equation of a line mean?
Definition: A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.
What are the forms of a line?
| Forms for the Equation of a Line | ||
|---|---|---|
| Slope-intercept | y = mx + b | Used when you have the slope and the y-intercept. |
| Point-slope | y – y1 = m(x – x1) | (x1, y1) is a point on the line. |
| Standard form | Ax + By = C | If possible, A is nonnegative and A, B, and C are relatively prime integers. |
| Two-intercept | Used when you have both intercepts. |
What does an equation of a line look like?
The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b). When you know the slope and the y-intercept of a line you can use the slope-intercept form to immediately write the equation of that line.
What is the Y intercept formula?
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
How do you find parallel lines?
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.