Lesson 2.7

Presentation

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Mathematics

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8th Grade

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Hard

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CCSS

8.EE.B.5, 8.EE.B.6, 8.F.A.3

Standards-aligned

Reed Carbone

Used 13+ times

FREE Resource

7 Slides • 5 Questions

Lesson 2.7

Equations of Proportional Graphs

By Reed Carbone

Definitions:

Proportional Equation: A proportional equation is of the form y = kx where k is the constant of proportionality.

Equation of a line with y-intercept at the origin: The equation of a line when the y intercept is the origin (0,0) is y = mx.

Rate of Change: Another name for slope.

Subject | Subject

Some text here about the topic of discussion

Visuals:

How to write the equation of a proportional line:

Step 1: Find slope using rise over run

Step 2: Substitute 'm' into the equation y = mx

Multiple Choice

Is this graph proportional? If yes, what is the equation?

It is not proporitional

y = 10x

y = 30x

y = -10x

Example: Find the slope of the line, then give the equation of the line

Multiple Choice

What is the equation of the line?

y = 2x

y = -2x

y = x

y = -x

How to Graph the equation of a line: y = 2x

Step 1: Plot a point

Step 2: Use slope as rise over run to find other points (minimum of 2 points needed)

Multiple Choice

Graph the line with equation $y\ =\ -\frac{1}{2}x$

Multiple Choice

What is the equation of a line that goes through the origin?

x = ym

y = mx

y = mx + b

y = x

Fill in the Blanks

What is the equation of the line?

Type answer...

Conclusion: Write 2 complete sentences about what you learned.

Lesson 2.7

Equations of Proportional Graphs

By Reed Carbone

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