What is the equation of this line in slope-intercept form? So any line can be represented in slope-intercept form, is y is equal to mx plus b, where this m right over here, that is of the slope of the line. And this b over here, this is the y-intercept of 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. 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? 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.f) What is the equation of the line represented by this table? y = ____x + _____ 4.
The table to the right shows the number of pies Jimmy earns for selling pies. Which equation on the left matches the table on the right? e) y = 5x f) y x 5 1 = g) 5 11 1 y = x + h) y = 5x + 11 .
a) Write an equation of a line perpendicular to Y = 2X + 3 that passes through (-1, 1). b) Write an equation of a line that is parallel to the line created by (2, 4) and (-4, 3) and passes through (10, -2). c) Write an equation of a line that is perpendicular to the line created by (0, 7) and (0, 8) and passes through the point (2, 5).
Linear Functions: Slope-Intercept Form Student Worksheet definitions, and concepts. Observations The Observations illustrate mathematical concepts relating to writing slope in slope-intercept form.
Scroll through the Observations The Observations help students understand using algebra to change a linear equation in standard form to. Writing Equation Of A Line. Some of the worksheets displayed are Writing linear equations, Writing equations of lines given the graph, Kuta software, Concept 7 writing linear equations, Writing equations of parallel and perpendicular lines period, Write equation of line from 2 points work, Name hour date scatter plots and lines of best fit work.
Name: Writing Linear Equations Worksheet For 1 – 3, write an equation of the line with the given slope and y-intercept (SLOPE-INTERCEPT FORM). 1. m = 4, b = -4 2. m = 4 3, b = 6 3. m = 8, b = 0 For 4 – 9, write an equation of the line that passes through the given point and has the given slope.
(POINT-SLOPE FORM) 4. Patterns function machine worksheets machines filling in missing digit worksheet identify linear tables writing equations worksheets 16 diffe linear verbal situations ss come up with equation table graph gm8 5 2 writing linear equations from a table.