# Write an equation of the line parallel to the line

Parallel Lines and Their Slopes In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. Perpendicular Lines and Their Slopes In other words, perpendicular slopes are negative reciprocals of each other. If you need more of a review on how to use this form, feel free to go to Tutorial The student does not understand the slope criterion for parallel lines. Examples of Student Work at this Level The student is unable to find the slope of given the slope of the line to which it is parallel. If parallel to this line, what is its slope? Suppose line k is parallel to line j and that the slope of line j is 5.

What is the slope of line k? To explore slopes of parallel lines, provide the student with the graphs of parallel lines and ask the student to use the graphs to calculate the slope of each line.

Guide the student through a proof of the criterion for parallel lines. Examples of Student Work at this Level The student: Correctly identifies the slope of as but says that the slope of is 1 or Indicates that he or she is unable to find the slope of the line given by the equation in Question 2.

Questions Eliciting Thinking How did you find the slope of? Can you read the slope from this equation? Instructional Implications Review with the student the different forms of equations of lines. Provide the student with several equations written in each form.

Have the student identify the equations written in slope-intercept form.

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Model rewriting equations in standard or point-slope form in slope-intercept form. Provide the student with several examples of equations written in standard form or point-slope and ask the student to rewrite each equation in slope-intercept form and identify its slope as well as the slope of a line parallel to it.

Examples of Student Work at this Level The student can find the slope of the line whose equation he or she is writing but is unable to use a given point to write the equation.

Uses the y-intercepts of the original equations as the y-intercepts of the equations of the parallel lines. Uses the y-coordinate of the given point -2,7 as the y-intercept of the equation of the parallel lines.

Estimates the y-intercept by graphing the line using the given point and the slope. Questions Eliciting Thinking You said parallel lines have the same slope. Do parallel lines also have the same y-intercept? Why do you suppose you were told the coordinates of B?

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Is that needed to write the equation of? Is -2, 7 a y-intercept? How can you tell if a point could be a y-intercept? What if the y-intercept was a rational number such as 6.

Do you think you could have found it by graphing? Do you know how to find it algebraically? Then have the student graph the parallel line whose equation is to be written by using its slope,and the given point, -2, 7. Have the student use the graph to estimate the y-intercept of the parallel line.

Then guide the student to find its actual value algebraically and to write its equation in slope-intercept form. Ask the student to repeat this exercise with the equation given in the second problem. When the student is finished, ask him or her if there was anything easier about writing the equation of the parallel line in the second problem.Write the equation for a line that is a parallel or perpendicular to a line given in slope-intercept form and goes through a specific point.

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The question is asking to choose among the following choices that states the equation of the line that passes through (4,2) and is parallel to 3x-2y=-6, base on my calculation and further analysis, I would say that the answer would be y=-3/2x+8. I hope you are .

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 barnweddingvt.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.

Equation of a line parallel to a given line Equation of the given parallel line and a point on your line Write the equation of the given line in slope-intercept form to determine its slope, then use that same slope and your point in the point-slope formula.

Resources / Answers / write the equation of the GO. Ask a question.

 Table of Contents Free Mathematics Tutorials Tutorial on Equation of Line This is a tutorial on how to find the slopes and equations of lines. A review of the main results concerning lines and slopes and then examples with detailed solutions are presented. {dialog-heading} Overview[ edit ] Some TTL logic parts were made with an extended military-specification temperature range. Write equations of parallel & perpendicular lines | Analytic geometry (practice) | Khan Academy No we are not talking about female hobbyist or how to pick up girls.

0. Ask a Question Ask a Question. write the equation of the line that is parallel to x=5 and passes through the point (-8,4) I need to be able to do this question for a quiz that I have.

Can I please have some help step by step. The following is a list of series digital logic integrated barnweddingvt.com original series integrated circuits were made by Texas Instruments with the prefix "SN" to create the name SN74xx. Due to the popularity of these parts, other manufacturers have released pin-to-pin compatible devices which kept the sequence number as an aid to identification of compatible parts.

Line (geometry) - Wikipedia