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Writing Linear Equation from Standard Form to Slope-intercept Form and Vice-versa.

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Competency. . Objectives. 1. Distinguish standard form of linear equations from slope-intercept form.

How do we find the slope and y-intercept form given the standard form of linear equation?.

Example:. . Therefore, the slope is -2 and the y-intercept is equal to 5..

You have learned in the previous lesson that the standard form of a linear equation in two variables is written as ?? + ?? = ?, where ?, ?, ??? ? are real numbers, ? and ? are not both zero. Also, the slope-intercept form of the equation of a line is written in the form ? = ?? + ?, where ? is the slope and ? is the y-intercept, ? and ? are real numbers..

Classify My Form. Classify each liner equation as an equation written in standard form or in slope-intercept form. Write your answer in the appropriate box..

Answer Key. . .

Guide Questions:. How did you classify each of the given linear equations?.

Let’s begin…. Rewrite the following linear equations in specified form. Supply the missing terms in each of the items below. Write your answer on a separate sheet of paper..

. Let’s begin…. .

. Let’s begin…. . . .

. . Let’s begin….

What is It. .

Application: Rewrite the following questions. . .

Answer Key. Application A. a. 7 = 12 +3x = 12 +3x = 12 + 3x y = 12 + 3x — 3x+ 12 The slope is 3 and the y-intercept is 12. Given Addition Property of Equality Associative Property for Addition Additive Inverse Identity Property for Addition Commutative Property for Addition.

Answer Key. Application B. a.. Given Addition Property of Equality Associative Property for Addition Additive Inverse Identity Property for Addition Commutative Propeny for Addition Standard Form.

Assessment Part I. . l. 2. 3. 4. 5. COLUMN A x — 3y = 9 IOX - 2y = 20 6X = 12 + 4x + 16 - By = O COLUMN B y = 5x- 10 y=-x-3.

Assessment Part II. Give the equivalent standard form of each linear equation written in slope-intercept form. Answers can be found inside the box..

Answer Key. . .

Assignment. Rewrite the following linear equations in specified form, then answer the questions that follow..

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9th Grade Maths Subjects for High School: Linear equations and inequalities Here is where your presentation.

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Exercise 2. Solving Linear Equations: Variables on Both Sides.

Exercise 2. Solving Linear Equations: Variables on Both Sides.

Exercise 3. Solving Linear Equations: Distributive Property.

Exercise 3. Solving Linear Equations: Distributive Property.

Exercise 4. Solving Mixture Problems. How many pounds of Kenyan coffee beans that cost $5.00 per pound must be mixed with 8 pounds of Ethiopian coffee beans that costs $8.00 per pound to make a blend that costs $6.00 per pound?.

Exercise 4. Solving Mixture Problems. Equation to solve: 6(a + 8) = 5a + 64.

Exercise 5. Solving Rate Problems. A cross-country skier leaves her home at noon. She skis for an hour with the wind at her back, and then decides to turn around and take the same route home. Now that she is headed into the wind, her speed is 2 miles per hour slower going home than it was in the first hour. She arrives home at 2:30.

Exercise 5. Solving Rate Problems. Outgoing trip: d = r + 2 Incoming trip: d = 1.5r.

Exercise 6. Solving Literal Equations. Solve A = bh for b This is the formula for the area A of a rectangle with base b and height h. We need to solve this formula for the base b. If we have to solve 3 = 2b for b , we'd have divided both sides by 2 in order to isolate the variable b. We'd end up with the variable b being equal to a fractional number.

Exercise 6. Solving Literal Equations. We won't be able to get a simple numerical value for our answer, but we can proceed using the same step for the same reason. So, following the same reasoning for solving this literal equation as we would have for the similar one-variable linear equation, we divide through by the "h" :.

Exercise 7. Solving Absolute Value Equations. Solve the absolute value equation | x | = - 5.

Exercise 7. Solving Absolute Value Equations. The absolute value of any number is either positive or zero. But this equation suggests that there is a number that its absolute value is negative. Can you think of any numbers that can make the equation true? Well, there is none.

Exercise 8. Solving One-Variable Inequalities. Which number line represents the solution set for the inequality 2x - 6 ≥ 6(x - 2) + 8 ?.

Exercise 8. Solving One-Variable Inequalities. Line 3.

Exercise 9. Introduction to Compound Inequalities.

Exercise 9. Introduction to Compound Inequalities.

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