Curriculum / Math / 8th Grade / Unit 5: Linear Relationships / Lesson 9
Math
Unit 5
8th Grade
Lesson 9 of 15
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Write equations into slope-intercept form in order to graph. Graph vertical and horizontal lines.
The core standards covered in this lesson
8.EE.B.6 — Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
The foundational standards covered in this lesson
8.EE.C.7 — Solve linear equations in one variable.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Lesson 9 is a continuation of Lesson 8 but presents equations in standard form that are then written into slope-intercept form as a strategy to graph.Â
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Given the equation $${2x+3y=9}$$, determine the slope and $$y$$-intercept, and then graph the line that represents the equation.
Write the equation below into slope-intercept form and then graph the line that represents the equation.
$${-4x-2y=-5}$$
Match each equation to a graph. Be prepared to explain your reasoning.
Equation A: $${ y=5}$$ Equation B: $${x=5}$$
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Identify the slope and $$y$$-intercept of the equation $$12x-8y=24$$. Then graph the line that represents the equation.
An example response to the Target Task at the level of detail expected of the students.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 8
Lesson 10
Topic A: Comparing Proportional Relationships
Review representations of proportional relationships.
8.EE.B.5
Graph proportional relationships and interpret slope as the unit rate.
Compare proportional relationships represented as graphs.
Compare proportional relationships represented in different ways.
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Topic B: Slope and Graphing Linear Equations
Graph a linear equation using a table of values.
8.F.B.4
Define slope and determine slope from graphs.
8.EE.B.6
Determine slope from coordinate points. Find slope of horizontal and vertical lines.
8.EE.B.6 8.F.B.4
Graph linear equations using slope-intercept form $${y = mx + b}$$.
8.EE.B.6 8.F.A.3
Topic C: Writing Linear Equations
Write linear equations from graphs in the coordinate plane.
Write linear equations using slope and a given point on the line.
Write linear equations using two given points on the line.
Write linear equations for parallel and perpendicular lines.
Compare linear functions represented in different ways.
8.F.A.2 8.F.B.4
Model real-world situations with linear relationships.
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