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Equations of Lines Chapter 3 – 4 pp. 165 - 170
Run Warmup
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Equations of Lines: From Algebra 1, you may recall the following equations/formulas: Slope Formula: Slope-Intercept Equation: Point-Slope Equation:
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An equation in slope-intercept form of the line with slope of 6 and y-intercept of –3 is given by:
-3
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Write an equation in slope-intercept form of the line with slope of –1 and y-intercept of 4.
B C D x + y = 4 y = x – 4 y = –x – 4 y = –x + 4 Lesson 3-4 CYP 1
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Write an equation in point-slope form
of the line whose slope is passing through the point (-10, 8) 8 -10
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Write an equation in point-slope form of the line
whose slope is that contains (6, –3). A B C D Lesson 3-4 CYP 2
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0 – 9 -2 – 4 9 4 Step 1: Find the slope using the formula:
Write an equation in slope-intercept form for a line containing (4, 9) and (–2, 0). Step 1: Find the slope using the formula: 0 – 9 -2 – 4 Step 2: Substitute into point-slope equation: 9 4
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Step 3: Simplify to slope-intercept equation:
+9 +9
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Write an equation in slope-intercept form for a line containing (3, 2) and (6, 8).
B C D Lesson 3-4 CYP 3
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Recall that parallel lines have equal slope values.
Perpendicular lines have slopes that are negative reciprocals of each other .
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Use three-step process using slope (m) = 2 and point values provided.
Write an equation in slope-intercept form for a line containing (1, 7) that is perpendicular to the line Use three-step process using slope (m) = 2 and point values provided.
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Write an equation in slope-intercept form for a line containing (–3, 4) that is perpendicular to the line A B C D Lesson 3-4 CYP 4
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Use the slope formula by using A (-1, 6)and B (3, 2) or any other pair of points with integer coordinates. Since y-intercept is 5, the equation is:
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Rise = -6 Slope (m) = -1 Run = 6 y-intercept (b) = 5 Equation: y = -x + 5
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Tonight’s homework: Textbook pages 168 – 170, problems 1 – 9 odd, 13 – 24 all, 25 – 31 odd, & 37 – 40 all.
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