General Equation of a Line: The properties of the line such as slope and x and y intercepts are also explored.
Using the Point-Slope Form of a Line Another way to express the equation of a straight line Point-slope refers to a method for graphing a linear equation on an x-y axis.
While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is also used to take a graph and find the equation of that particular line. The point slope form gets its name because it uses a single point on the graph and the slope of the line.
Think about it this way: You have a starting point on a map, and you are given a direction to head. You have all the information you need to draw a single line on the map. The standard point slope formula looks like this: In this case it denotes a specific y value which you will plug into the equation.
The variable m is the slope of the line. Example 1 You are given the point 4,3 and a slope of 2. Find the equation for this line in point slope form.
Just plug the given values into your point-slope formula above. Your slope was given to you, so where you see m, use 2. Your final result should look like: Your point is -1,5. Create the equation that describes this line in point-slope form.
Try working it out on your own. Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph. In the example above, we took a given point and slope and made an equation.
Example 2 Find the equation in point-slope form for the line shown in this graph: To write the equation, we need two things: It is simple to find a point because we just need ANY point on the line.
Note also that it is useful to pick a point on the axis, because one of the values will be zero. Finding the slope requires a little calculation, but it is also pretty easy.Explore math with metin2sell.com, a free online graphing calculator. The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and metin2sell.com are an idealization of such objects.
Until the 17th century, lines were defined in this manner: "The [straight or curved] line is the first species of quantity, which has only one dimension, namely length, without any width. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
This is described by the following equation: = . (The Greek letter delta, Δ, is commonly used in mathematics to mean "difference" or "change".).
Dec 04, · metin2sell.com - How to Write a Slope Intercept Equation for a Line on a Graph. For more practice and to create math worksheets, visit D. Example 3: Write an equation of the line with y-intercept 3 that is parallel to the line y = 7x - 9. Since y = 7 x - 9 is in slope-intercept form, its slope is 7.
Since parallel lines have the same slope, the slope of the new line will also be 7. Define the slope-intercept formula of a line.
The formula of a line in slope-intercept form is y = mx + b, where m is the slope, b is the y-intercept, and x and y are variables that represent coordinates on the line; generally, you will see them remain as x and y in the equation.