Convert the equation $$2x + 2y = 6$$ to Slope-Intercept Form.

The equation in Slope-Intercept Form is $$y = -x + 3$$ .

Why is the equation $$-3x + 2y = -9$$ not in Standard Form?

It is not in Standard Form because the coefficient of x is negative.

What does the term 'y-intercept' refer to in a linear equation?

The y-intercept is the value of y when x = 0, represented by b in the Slope-Intercept Form $$y = mx + b$$ .

What is the significance of the slope in a linear equation?

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

What is the relationship between the coefficients in Standard Form?

In Standard Form $$Ax + By = C$$ , A, B, and C should be integers, and A should be non-negative.

How do you find the slope from two points (x1, y1) and (x2, y2)?

The slope (m) is calculated using the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

What is the difference between Slope-Intercept Form and Standard Form?

Slope-Intercept Form is $$y = mx + b$$ , focusing on slope and y-intercept, while Standard Form is $$Ax + By = C$$ , focusing on integer coefficients.

What does it mean for a linear equation to be in 'Factored Form'?

Factored Form expresses the equation as a product of factors, typically in the form $$y = m(x - x_1)(x - x_2)$$ .

How can you determine if a linear equation is in Slope-Intercept Form?

A linear equation is in Slope-Intercept Form if it can be expressed as $$y = mx + b$$ , where m and b are constants.

Module 3: Linear Forms Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the Point-Slope Form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

What is the Slope-Intercept Form of a linear equation?

Back

3.

FLASHCARD QUESTION

Front

What is the Standard Form of a linear equation?

Back

4.

FLASHCARD QUESTION

Front

Back

This equation is in Slope-Intercept Form.

5.

FLASHCARD QUESTION

Front

Back

This equation is in Point-Slope Form.

6.

FLASHCARD QUESTION

Front

What is the definition of slope in a linear equation?

Back

Slope (m) is the ratio of the change in y to the change in x, often described as 'rise over run'.

7.

FLASHCARD QUESTION

Front

Back

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