Find the equation of the line. Write the equation using function notation. Passes through 2, 3 and parallel to. What are the two things we need to write an equation of a line????
Equations of lines come in several different forms. Two of those are: In the examples worked in this lesson, answers will be given in both forms.
When a problem asks you to write the equation of a line, you will be given certain information to help you write the equation. The strategy you use to solve the problem depends on the type of information you are given.
Given a Point and a Slope When you are given a point and a slope and asked to write the equation of the line that passes through the point with the given slope, you have to use what is called the point-slope form of a line. When using this form you will substitute numerical values for x1, y1 and m.
You will NOT substitute values for x and y. Look at the slope-intercept and general forms of lines. Those have x and y variables in the equation. You may be wondering why this form of a line was not mentioned at the beginning of the lesson with the other two forms.
That is because the point-slope form is only used as a tool in finding an equation. It is not a way to present your answer. The slope-intercept form and the general form are how final answers are presented.
Find the equation of the line that goes through the point 4, 5 and has a slope of 2. Since you have a point and a slope, you should use the point-slope form of a line.
Some students find it useful to label each piece of information that is given to make substitution easier. If you are comfortable with plugging values into the equation, you may not need to include this labeling step.
Now substitute those values into the point-slope form of a line.
Now you need to simplify this expression. The process for simplifying depends on how you are going to give your answer.
The process for obtaining the slope-intercept form and the general form are both shown below. Both forms involve strategies used in solving linear equations. If you need to practice these strategies, click here.
Although the numbers are not as easy to work with as the last example, the process is still the same.
Plug those values into the point-slope form of the line: Now simplify this expression into the form you need. You can take the slope-intercept form and change it to general form in the following way. Given Two Points When you are given two points, it is still possible to use the point-slope form of a line.
How is this possible if for the point-slope form you must have a point and a slope? Since you are given two points, you can first use the slope formula to find the slope and then use that slope with one of the given points.
If you need help calculating slope, click here for lessons on slope. Find the equation of the line that passes through the points -2, 3 and 1, The first step is to find the slope of the line that goes through those two points. Now that you have a slope, you can use the point-slope form of a line.
You also have TWO points use can use. How do you know which one is the right one? You can use either of the two points you have been given and you equation will still come out the same.Review point-slope form and how to use it to solve problems.
If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *barnweddingvt.com and *barnweddingvt.com are unblocked. write the point-slope form of the equation of the line described.
Problem: through (4,2), parallel to y=-3/4x-5 Help i really don't understand this and i have a test tonight:. Because you want the equation for a line that is parallel the slopes for both equations will be the same.
Use point slope form y-y1 = m(x-x1) where m is the slope and plug in the x y value for the point you have been given. Recall that the slope (m) is the "steepness" of the line and b is the intercept - the point where the line crosses the y-axis. In the figure above, adjust both m and b .
Point & click to locate path points. Each path point can be dragged. Paths can be right-angle, straight, or smooth. You may insert a background template image.
Algebra I is an entirely new course designed to meet the concerns of both students and their parents. These 36 accessible lectures make the concepts of first-year algebra - including variables, order of operations, and functions-easy to grasp.