How do you determine if a point lies on a line represented by an equation?

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

What is the relationship between the slopes of perpendicular lines?

The slopes of perpendicular lines are negative reciprocals of each other, meaning if one slope is $$m$$ , the other is $$-\frac{1}{m}$$ .

What is the distributive property in algebra?

The distributive property states that $$a(b + c) = ab + ac$$ , allowing you to multiply a term by a sum.

How do you identify errors in solving linear equations?

Check each step for mistakes in arithmetic, application of properties (like distributive), and combining like terms.

What does it mean to combine like terms in an equation?

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

How can you find the equation of a line given a point and a slope?

Use the point-slope form: $$y - y1 = m(x - x1)$$ , substituting the point and slope into the equation.

What is the standard form of a linear equation?

The standard form is written as $$Ax + By = C$$ , where A, B, and C are integers, and A should be non-negative.

How do you graph a linear equation?

To graph a linear equation, find the y-intercept, plot it on the graph, and use the slope to find another point.

NEW Unit 5 CW Test Review: Linear Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

4.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear equation?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the significance of the coefficient of x in the slope-intercept form?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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