What does the equation $$y = -6$$ represent?

The equation $$y = -6$$ represents a horizontal line that crosses the y-axis at -6.

How do you convert the equation $$y = mx + b$$ to standard form?

To convert $$y = mx + b$$ to standard form, rearrange it to the form $$Ax + By = C$$ .

What is the slope of the line represented by the equation $$y = 3x + 2$$ ?

The slope of the line is 3, which indicates that for every unit increase in $$x$$ , $$y$$ increases by 3.

How do you find the y-intercept from the equation $$y = mx + b$$ ?

The y-intercept is the value of $$b$$ in the equation $$y = mx + b$$ , which is the point where the line crosses the y-axis.

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

The slope indicates the steepness of the line and the direction of the relationship between $$x$$ and $$y$$ . A positive slope means the line rises, while a negative slope means it falls.

How do you determine if a line is vertical or horizontal from its equation?

If the equation is of the form $$x = k$$ , it is vertical. If it is of the form $$y = k$$ , it is horizontal.

What is the equation of a line that passes through the points (0, -1) and (-6, -9)?

The equation of the line is $$4x - 3y = 3$$ .

How do you rewrite the equation $$5x + 8y = 56$$ into standard form?

The equation is already in standard form as $$Ax + By = C$$ .

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

In the standard form $$Ax + By = C$$ , the coefficients $$A$$ and $$B$$ should not both be zero, and $$A$$ should be non-negative.

What does it mean if two lines are parallel in terms of their slopes?

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

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, indicating the value of $$y$$ when $$x = 0$$ .

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

The slope $$m$$ can be calculated using the formula $$m = \frac{{y2 - y1}}{{x2 - x1}}$$ .

Writing Linear Equations: 4.1-4.2 Review Flashcards

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1.

FLASHCARD QUESTION

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

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2.

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How do you write an equation for a rental car company's charges based on days rented?

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3.

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4.

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What is the standard form of a linear equation?

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5.

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6.

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