Suppose line k is parallel to line j and that the slope of line j is 5. 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.
How can you tell if a point could be a y-intercept? Correctly identifies the slope of as but says that the slope of is 1 or Questions Eliciting Thinking How did you find the slope of? 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.
Examples of Student Work at this Level The student: Questions Eliciting Thinking You said parallel lines have the same slope. Almost There The student makes a minor algebraic error.
Have the student identify the equations written in slope-intercept form. Estimates the y-intercept by graphing the line using the given point and the slope. Is -2, 7 a y-intercept? Indicates that he or she is unable to find the slope of the line given by the equation in Question 2.
Instructional Implications Review with the student the different forms of equations of lines.
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.
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.
Then guide the student to find its actual value algebraically and to write its equation in slope-intercept form. Why do you suppose you were told the coordinates of B?
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.
Do parallel lines also have the same y-intercept? Do you know how to find it algebraically? Ask the student to repeat this exercise with the equation given in the second problem.
Uses the y-intercepts of the original equations as the y-intercepts of the equations of the parallel lines. Can you read the slope from this equation?
Give the student more practice writing the equations of lines given points and equations of parallel lines written in a variety of forms. Do you think you could have found it by graphing? Have the student use the graph to estimate the y-intercept of the parallel line.
Model rewriting equations in standard or point-slope form in slope-intercept form. Then have the student graph the parallel line whose equation is to be written by using its slope,and the given point, -2, 7.
Provide the student with several equations written in each form. Is that needed to write the equation of? Uses the y-coordinate of the given point -2,7 as the y-intercept of the equation of the parallel lines.
If parallel to this line, what is its slope? What if the y-intercept was a rational number such as 6.Student will practice writing the linear equations given various information. This worksheet is mixed review practice on writing the equations of parallel lines, perpendicular lines.
An answer key is provided as well as the full work for all problems on the sheet. Graphing Lines Date_____ Period____ Sketch the graph of each line. 1) y kA4l1l5 cr 3iwg Whot ks W vr neRsXe rRv 7eId K.s d AM 7a adYe o RwNiytFh4 gIhn cfQiInRi 2tRe N XAEl 2gje 3b 5rUan VS Worksheet by Kuta Software LLC 7).
Concept 7: Writing Linear Equations Level 2 Pre 1. Watch the video (Writing Linear Equations: Level 2) Worksheet Level 2: Writing Linear Equations Goals: Sketch of the GraphCreate a sketch of the graph, showing where the lines cross.
Writing Linear Equations Worksheets: Graphing Linear Inequalities Linear Equations Worksheets: Writing Linear Equations Worksheets These Linear Equations Worksheets will produce problems for practicing writing linear equations from graphed lines.
These Linear Equations Worksheets are a good resource for students in the 5th Grade. Determining the Equation of a Line From a Graph. Solve for the system of equations by graphing (Find the point of intersection).
Simplifying Exponents of Polynomials Worksheet Substitution Worksheet Simplifying Exponents of Variables Worksheet Algebra Worksheets List. math.
Algebra. Writing Equations of Lines Review for Quiz Period____ A. Write the slope-intercept form of the equation of each line given the slope and y-intercept. 1) Slope = 5, y-intercept = −3.Download