Algebra 1, Unit 3: Linear Functions and Graphing. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
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- What is a linear function?
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A function whose graph is a straight line- What is the slope of a line?
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A measure of its steepness, calculated as rise over run- What is the formula for slope between two points?
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m = (y2 - y1) / (x2 - x1)- What is the y-intercept of a line?
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The point where the line crosses the y-axis- What is slope-intercept form?
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y = mx + b, where m is slope and b is the y-intercept- What does a slope of zero indicate about a line?
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The line is horizontal- What does an undefined slope indicate about a line?
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The line is vertical- What is the slope of a line parallel to y = 2x + 1?
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2, the same slope- What is true about the slopes of two perpendicular lines?
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Their slopes are negative reciprocals of each other- What is point-slope form of a line?
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y - y1 = m(x - x1)- What is standard form of a linear equation?
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Ax + By = C- What is the x-intercept of a line?
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The point where the line crosses the x-axis- How do you find the x-intercept of an equation?
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Set y equal to zero and solve for x- How do you find the y-intercept of an equation?
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Set x equal to zero and solve for y- What does a positive slope indicate about a line's direction?
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It rises from left to right
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