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Review essential algebra concepts such as plotting points, slope formulas, determining line linearity, and equation solving techniques. Practice identifying parallel and perpendicular lines and mastering the slope-intercept form.
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Can you… • Plot points to determine if the line is linear? • EXPLAIN the slope formula(s) • Find slope of 2 points • Explain how (without graphing) you can tell if 2 lines are parallel or perpendicular • Write the slope intercept formula • Solve an equation and put it IN slope intercept formula (4y– 5x= –10 ) • Explain how to find the slope of a real world object (stairs, slide, ramp)
14 Lesson 11-1 Graph each equation and tell whether it is linear. 1.y = 3x – 1 2.y= x 3. y = x2 – 3 yes yes no
2 5 3 4 – – 5 3 Lesson Quiz: 11-2 Find the slope of the line passing through each pair of points. 1. (4, 3) and (–1, 1) 2. (–1, 5) and (4, 2) 3. Use the graph of the line to determine its slope.
Lesson Quiz: 11-2 Part 2 Tell whether the lines passing through the given points are parallel or perpendicular. 4. line 1: (–2, 1), (2, –1); line 2: (0, 0), (–1, –2) 5. line 1: (–3, 1), (–2, 3); line 2: (2, 1), (0, –3) perpendicular parallel
y = – x + 2 3 4 Lesson Quiz 11-3 Write each equation in slope-intercept form, and then find the slope and y-intercept. 1. 2y – 6x = –10 2. –5y – 15x = 30 Write the equation of the line that passes through each pair of points in slope-intercept form. 3. (0, 2) and (4, –1) 4. (–2, 2) and (4, –4) y = 3x – 5; m = 3; b = –5 y = –3x – 6; m = –3; b = –6 y = –x