# Writing equations of lines

Write the equation of the line that passes through the points 7, -3 and 7, 0.

You also have TWO points use can use. Find the equation of the line that passes through 0, -3 and -2, 5. As we have in each of the other examples, we can use the point-slope form of a line to find our equation.

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.

Two of those are: If you need to practice these strategies, click here. What is your answer?

You may be wondering why this form of a line was not mentioned at the beginning of the lesson with the other two forms. Now that you have a slope, you can use the point-slope form of a line.

Although the numbers are not as easy to work with as the last example, the process is still the same. If you need help rewriting the equation, click here for practice link to linear equations slope.

How do you know which one is the right one? Find the equation of the line that passes through 1, -5 and is parallel to. Find the equation of the line that passes through the points -2, 3 and 1, Transforming the slope-intercept form into general form gives Parallel and Perpendicular There is one other common type of problem that asks you to write the equation of a line given certain information.

The first step is to find the slope of the line that goes through those two points. Those have x and y variables in the equation. If you are comfortable with plugging values into the equation, you may not need to include this labeling step.

That is because the point-slope form is only used as a tool in finding an equation. When using this form you will substitute numerical values for x1, y1 and m.

Some students find it useful to label each piece of information that is given to make substitution easier. So if we can find the slope ofwe will have the information we need to proceed with the problem.

Most students, since they have already labeled a and when finding the slope, choose to keep that labeling system. You will NOT substitute values for x and y. That means our line will have the same slope as the line we are given.

How is this possible if for the point-slope form you must have a point and a slope? The strategy you use to solve the problem depends on the type of information you are given.

If we re-write in slope-intercept form, we will easily be able to find the slope.

If is parallel to and passes through the point 5, 5transform the first equation so that it will be perpendicular to the second. You would first find the slope of the given line, but you would then use the negative reciprocal in the point-slope form.

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.

If you need help calculating slope, click here for lessons on slope. Look at the slope-intercept and general forms of lines. Equations of lines come in several different forms. Now substitute those values into the point-slope form of a line.

Both forms involve strategies used in solving linear equations. Plug those values into the point-slope form of the line:Apr 28,  · For a complete lesson on writing the equation of a line, go to ultimedescente.com - + online math lessons featuring a.

Writing Equations of Perpendicular and Parallel Lines Write an equation of the line that passes through (3, 2) and is (a) perpendicular and (b) parallel to the line y = º3 x + 2. ©d 82P0k1 f2 T 1K lu9t qap 2S ho KfZtgw HaTrte I BL gLiCQ.e R xA NlOlh JrKi0gMh6t8sq YrCenshe Rr8vqeed Y JMGapdQeX TwGiRt VhW 8I 2n fDiPn 8iDtEep QAVlVgue3bjr vaV Y Elementary Algebra Skill Writing Equations of Lines Given the Graph Write the slope-intercept form of the equation of e ach line.

1) −5−4−3−2−10 1 2 3 4 5. Equations of lines come in several different forms. Two of those are: slope-intercept form; where m is the slope and b is the y-intercept. general form; Your teacher or textbook will usually specify which form you should be using.

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Writing equations of lines
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