What is the y-intercept of a line?

The y-intercept is the point where the line crosses the y-axis. It can be found by setting $$x = 0$$ in the equation of the line.

How do you convert the standard form of a linear equation to slope-intercept form?

To convert from standard form $$Ax + By = C$$ to slope-intercept form $$y = mx + b$$ , solve for $$y$$ : $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

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

In a linear equation of the form $$Ax + By = C$$ , the coefficients $$A$$ and $$B$$ determine the slope and direction of the line, while $$C$$ represents the line's position relative to the axes.

How do you determine if a point lies on a line?

To determine if a point (x, y) lies on a line represented by an equation, substitute the x-value into the equation and check if the resulting y-value matches the y-coordinate of the point.

What is the formula for the distance between two points on a coordinate plane?

The distance d between two points (x1, y1) and (x2, y2) is given by the formula: $$d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}$$ .

What is the relationship between the slopes of parallel and perpendicular lines?

For parallel lines, the slopes are equal. For perpendicular lines, the slopes are negative reciprocals of each other.

How do you find the x-intercept of a line?

To find the x-intercept of a line, set $$y = 0$$ in the equation and solve for $$x$$ .

What is the general form of a linear equation?

The general form of a linear equation is $$Ax + By + C = 0$$ , where A, B, and C are constants.

P F Test 3 -- Linear Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

2.

FLASHCARD QUESTION

Front

What does it mean for a line to have an undefined slope?

Back

3.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points?

Back

4.

FLASHCARD QUESTION

Front

What is the equation of a line in slope-intercept form?

Back

5.

FLASHCARD QUESTION

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts. They will never intersect.

6.

FLASHCARD QUESTION

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one line's slope is the negative reciprocal of the other's.

7.

FLASHCARD QUESTION

Front

How do you write the equation of a line given a point and a slope?

Back

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