Unit 2 Analytic Geometry Introduction: Review of Key Concepts Learning Goal: I can solve problems...
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Transcript of Unit 2 Analytic Geometry Introduction: Review of Key Concepts Learning Goal: I can solve problems...
Unit 2Analytic Geometry
Introduction: Review of Key Concepts
Learning Goal: I can solve problems involving slopes, equations of lines and Pythagorean
theorem
Warm-Up: Fractions1) Place the following fractions in order from smallest
to largest: ¼, ⅓, ⅖, ⅞, ¾, ⅔, 2⅗
2) Complete the following operations with fractionsa) ½ + ⅓ b) ¼ × ⅚ c) ⅙ ÷ ⅜
d) ⅝ - ⅖
Equations of Lines
• y = mx +b form (ex. y = 3x – 7)– Isolate y y = mx + b
m = slope b= y-
intercept
• Standard Form (ex. 4x – 3y = -1)– ax + by = c, where a is positive and a, b, and c are
whole numbers (no fractions or decimals)
Rearranging EquationsPut the following equations in: a) y = mx + b form
i) 4x + 2y = 8 ii) ⅓x = -⅔y - 4
b) standard formi) -9x + 4y - 6 = 0 ii) y = ½x - ⅕
Find the equation of a line which…
a) has a slope of - ⅖ and crosses the y-axis at +4
b) crosses the y-axis at -2 and is parallel to: y = ½x – 6
c) crosses the y-axis at +7 and is perpendicular to y = 3x + 2
Find the equation of a line which…
d) crosses the y-axis at +7 and passes through the point (-8, 1)
e) passes through the points (-4, 0) and (4, 6)
Applying Pythagorean theorem
1) Solve for the missing side in the triangle:
2) A 12 ft ladder is leaning up against a wall. If the base of the ladder is 5 ft from the wall, how far up the wall does the ladder reach?
11.7 cm
6.2 cm
Homework
• Pg. 28 # 1ac, 2abc, 3ce, 5, 6 adefg• Pg. 31 # 1, 3ac, 4bc, 6, 7• Pg. 142 # 1