Guide the student through a proof of the criterion for perpendicular lines. Can you read the slope off of this equation? Then have the student graph the perpendicular line whose equation is to be written by using its slope, 2, and the given point, -2, 7.
Is that needed to write the equation of? Have the student identify the equations written in slope-intercept form. Give the student more practice writing the equations of lines given points and equations of both parallel and perpendicular lines written in a variety of forms.
Ask the student to rewrite each equation in slope-intercept form and identify its slope as well as the slope of a line perpendicular to it. Have the student use the graph to estimate the y-intercept of the perpendicular line. How were you able to find the slope of the line in the first equation?
Suppose this line had a slope of? Uses the y-intercepts of the original equations as the y-intercepts of the equations of the perpendicular lines.
Examples of Student Work at this Level The student understands the slope criterion for perpendicular lines, correctly finds the slope of each line, and uses the given points to write the equations of the lines in slope-intercept form.
Do you think you could have found it by graphing? Why do you suppose you were told the coordinates of B?
Estimates the y-intercept by graphing the line using the given point and the slope. Correctly identifies the slope of as 2 but says the slope of is or. What would the slope of a line perpendicular to this line be? Provide the student with several examples of equations written in standard form or point-slope.
Have the student write each slope as a fraction and then encourage the student to look for a consistent relationship between the pairs of slopes. Is -2, 7 a y-intercept? In what form were you asked to write it?
What if the y-intercept was a rational number such as Help the student generalize the relationship between the slopes of perpendicular lines by observing that they are always both opposite and reciprocal or their product is always What do you know about their y-intercepts?
Leaves the equation in point-slope form instead of writing it in slope-intercept form.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 complete the equation.
Instead, the student: Uses the y -intercepts of the original equations as the y -intercepts of the equations of the perpendicular lines. Write the Equation of a Line Through Two Points Part I. Model Problems with answers Part II.
Practice Problems with challenge problems Part III. Answer Key Write Equation of Line From 2 points worksheet Author: killarney10mile.com Keywords: write equation, linear equation, slope, worksheet.
Write the standard form of the equation of the line through the given point with the given slope.
9) through: Writing Linear Equations Date_____ Period____ Write the slope-intercept form of the equation of each line. Create your own worksheets like this one with Infinite Algebra 1.
Free trial available at killarney10mile.com ©s 62B01t1 u gK Gultta W eS1o4f tkwtahr3ed fLMLVCv.Q t YA0l Zl 2 BrqiSgAhnt 8sK HrmeQsne6rLvTe Hd1.M H CMIatdmeT mwWiPtPhK AIcnVfHiOnai ot 4e2 mAlwg8e6b 6rEa C 1o.v Worksheet by Kuta Software LLC. 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. Writing Algebra Equations Finding the Equation of a Line Given Two Points We have written the equation of a line in slope intercept form and standard form.
We have also written the equation of a line when given slope and a point.Download