Slope-Intercept Form

Learn and apply slope-intercept form using equations, examples, and interpretation.

Lesson 2 of 53 parts Practice Flashcards

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Form y=mx+b

Objective: Explain and use form y=mx+b in an Algebra 1 problem.

The linear rule y=mx+b has slope m and y-intercept b, assuming a meaningful domain for x. At (0,b).

Worked examples

Try itExample 1.1: For y=2x+15, what is y when x=5?Show answer

25. Substitute x=5 into the line equation. The answer is 25.

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Form y=mx+b

Objective: Explain and use form y=mx+b in an Algebra 1 problem.

The linear rule y=mx+b has slope m and y-intercept b, assuming a meaningful domain for x. At (0,b).

Worked examples

Try itExample 1.1: For y=2x+15, what is y when x=5?Show answer

25. Substitute x=5 into the line equation. The answer is 25.

Graphing from an Intercept

Objective: Explain and use graphing from an intercept in an Algebra 1 problem.

Plot (0,b), then use slope as rise over run to locate another point and draw the line. Exactly one line passes through them.

Worked examples

Try itExample 2.1: For y=3x+25, what is the y-intercept?Show answer

25. Set x=0 and read the resulting y-value. The answer is 25.

Interpreting Context

Objective: Explain and use interpreting context in an Algebra 1 problem.

In a linear model y=mx+b, b is the output when x=0 and m is the change in y per one unit of x, if x=0 belongs to context. When input zero lies outside the modeled domain.

Worked examples

Try itExample 3.1: For y=4x+35, what is y when x=11?Show answer

79. Substitute x=11 into the line equation. The answer is 79.

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