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Its the important key points of assignment of Intermediate Algebra are:Equations of Lines, First Degree Equations and Inequalities, Expressions and Formulas, Linear Functions, Systems of Equations, Quadratic Functions and Inequalities, Polynomial Functions, Conic Sections, Rational Expressions and Equations
Typology: Exercises
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Intermediate Algebra Name _____________________________
Finding Equations of Lines
Finding equations from graphs: steps:
Ex 1: Slope: down 1, right 1 m = - 1 y - int: (0, 5), so b= Therefore, y x 5 f ( x ) x 5
Ex 2 : Slope: up 1, right 2 m = ½ y - int: (0, 2), so b= Therefore, 2 2
1 y x
2 2
1 f ( x ) x
You try: Find the equations of each line.
Finding Equations given a point and a slope: steps:
Ex: Write an equation for a line with slope,
m , and goes through the point (8, -2).
x
y
x
y
x
y
x
y
run
rise m
m^ ,
and it goes through the point (-10, -2).
m , and goes through the point (-8, 0).
Finding Equations given 2 points: steps:
2 1 x x
y y m
Ex: Write an equation for a line that goes through the points (4, -3) and (-6, 2).