What is the significance of the coefficients in the standard form of a linear equation?

The coefficients $$A$$ and $$B$$ represent the direction of the line, while $$C$$ represents the position of the line relative to the origin.

What does it mean for a line to be vertical?

A vertical line has an undefined slope and is represented by the equation $$x = k$$ , where $$k$$ is a constant.

What does it mean for a line to be horizontal?

A horizontal line has a slope of 0 and is represented by the equation $$y = k$$ , where $$k$$ is a constant.

How can you determine if two lines are parallel?

Two lines are parallel if they have the same slope but different y-intercepts.

How can you determine if two lines are perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

What is the slope of the line represented by the equation $$y = 4x + 3$$ ?

The slope of the line is $$4$$ .

Convert the equation $$y - 7 = -\frac{2}{3}(x + 1)$$ to standard form.

The standard form is $$2x + 3y = 19$$ .

Slope Intercept, Point Slope, & Standard Form Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

3.

FLASHCARD QUESTION

Front

How do you find the y-intercept from the slope-intercept form?

Back

4.

FLASHCARD QUESTION

Front

What is the point-slope form of a linear equation?

Back

5.

FLASHCARD QUESTION

Front

How do you convert from point-slope form to slope-intercept form?

Back

6.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

7.

FLASHCARD QUESTION

Front

How do you find the x-intercept of a linear equation?

Back

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