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Writing Equations in Point-Slope Form
LESSON 4–3 Writing Equations in Point-Slope Form
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Write an equation of the line that passes through the given point and has the given slope. (5, –7), m = 3 5-Minute Check 1
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Write an equation of the line that passes through the given point and has the given slope. (1, 5),
5-Minute Check 2
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Which equation is the line that passes through the points (6, –3) and (12, –3)?
5-Minute Check 3
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Which equation is the line that passes through the points (9, –4) and (3, –6)?
5-Minute Check 4
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Identify the equation for the line that has an x-intercept of –2 and a y-intercept of 4.
A. y = –2x + 4 B. y = 2x + 4 C. y = 2x – 4 D. y = 4x – 2 5-Minute Check 5
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Which is an equation of the graph shown?
B. C. y = –2x + 3 D. y = 2x + 3 5-Minute Check 5
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Mathematical Processes A.1(B), A.1(F)
Targeted TEKS A.2(B) Write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1 =m(x - x1), given one point and the slope and given two points. A.2(C) Write linear equations in two variables given a table of values, a graph, and a verbal description. Also addresses A.3(A). Mathematical Processes A.1(B), A.1(F) TEKS
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point-slope form Vocabulary
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Concept 1
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Write and Graph an Equation in Point-Slope Form
Write an equation in point-slope form for the line that passes through (–2, 0) with slope Example 1
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Graph the equation Write and Graph an Equation in Point-Slope Form
Example 1
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Write the point-slope form of an equation for a line that passes through (4, –3) with a slope of –2.
Example 1
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Concept 2
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Find an Equation of a Line
Example 2
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Find an Equation of a Line
Example 2
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Write y – 3 = 2(x + 4) in standard form.
Example 2
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Write 3x + 2y = 6 in slope-intercept form.
Example 3
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A. GEOMETRY The figure shows trapezoid ABCD with bases AB and CD.
Point-Slope Form and Standard Form A. GEOMETRY The figure shows trapezoid ABCD with bases AB and CD. Write an equation in point-slope form for the line containing the side BC. ___ Example 4
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B. Write an equation in standard form for the same line.
Point-Slope Form and Standard Form B. Write an equation in standard form for the same line. Example 4
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A. The figure shows right triangle ABC
A. The figure shows right triangle ABC. Write the point-slope form of the line containing the hypotenuse AB. Example 4
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B. The figure shows right triangle ABC
B. The figure shows right triangle ABC. Write the equation in standard form of the line containing the hypotenuse. Example 4
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Writing Equations in Point-Slope Form
LESSON 4–3 Writing Equations in Point-Slope Form
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