7.12.1 Using Coefficients and Constant Terms to Identify Graphs of Linear Equations

Algebra 17.12.1 Using Coefficients and Constant Terms to Identify Graphs of Linear Equations

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Warm Up

Graphs A, B, and C represent three linear equations:

$y = 2 x + 4$

$y = 3 - x$

$y = 3 x - 2$

Use the following graph to answer questions 1 – 3.

A coordinate plane with three graphed lines. The red line represents graph A. The green line represents graph B. The blue line represents line C.

Which graph corresponds to equation $y = 2 x + 4$ ?

The graph representing $y = 2 x + 4$ has a slope of 2 and intersects the $y$ -axis at 4, so it is Graph B.

Which graph corresponds to equation $y = 3 - x$ ?

The graph representing $y = 3 - x$ has a slope of -1 and intersects the $y$ -axis at 3, so it is Graph A.

Which graph corresponds to equation $y = 3 x - 2$ ?

The graph representing $y = 3 x - 2$ has a slope of 3 and intersects the $y$ -axis at -2, so it is Graph C.

Building Character: Proactivity

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Proactive people don’t accept the world as it is or wait for direction from others to initiate change. Instead, they take matters into their own hands, acting to make the world better for themselves and others. They speak truth to power, take charge to solve problems, and champion new ideas.

Think about your current sense of proactivity. Are the following statements true for you??

I enjoy being a champion for ideas, even against opposition.
I like to be the one to take initiative.

Don’t worry if none of these statements are true for you. Developing this trait takes time. Your first step starts today!

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- Publication date: Jun 4, 2025
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