Write an equation of the line parallel to the line

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Write an equation of the line parallel to the line

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. 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.

How to Write Equations of Perpendicular & Parallel Lines | Sciencing

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?

write an equation of the line parallel to the line

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.

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Do you think you could have found it by graphing?Write the Equation of the Line – Review 1. Use the graph showing line b below to answer the following. Write the equation of a line which is parallel to this line which passes through the point (1, 3).

Give your answer in standard form. A line parallel to this line will have the same slope, 3 2. Using point-slope form, y – 3 = 3 2.

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Write the equation for the first line and identify the slope and y-intercept, as with the parallel lines. Example: y = 4x + 3 m = slope = 4 b = . Mathematics Glossary» Glossary Print this page. Addition and subtraction within 5, 10, 20, , or Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range , , , or , respectively.

Parallel Line Calculator Find the equation of the parallel line step-by-step.

Slopes and Equations of Lines