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

I am designing an Ethernet application where I am required to form the packet payload at a rate of bits each clock. However, each clock, from 1 to 4 of the bit words forming the bits will be valid. Buzzmath is currently not available for your mobile device.

Visit our support page to see which devices we support. Have any questions? We're here to help! Contact us anytime. Write an equation of the line containing the given points and parallel to the given line.

Express the answer in the form of y = mx + b. (2, 3); 3x + 4y = I am going to first write the equation 3x + 4y = -5 in the form y = mx + b since that will tell me the slope.

3x + 4y = add -3x to both sides. 4y = -3x - 5. divide both sides by 4. y = -3/4 x - 5/4. A Time-line for the History of Mathematics (Many of the early dates are approximates) This work is under constant revision, so come back later. Please report any errors to me at [email protected] Find the Equation of a Line Parallel or Perpendicular to Another Line β Notes Page 2 of 4 Example 3: Find the equation of a line passing through the point (β6, 5) parallel to the line 3x β 5y = 9.

Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y.

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Calculus II - Equations of Planes