Find the slope between the points (1, 2) and (3, 6).

$$\frac{6-2}{3-1} = \frac{4}{2} = 2$$

What does the slope represent in a real-world context?

The rate of change between two variables.

If a line has a slope of $$\frac{3}{4}$$ , what does this indicate about the rise and run?

For every 3 units of rise, there are 4 units of run.

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

$$y - y_1 = m(x - x_1)$$ where m is the slope and (x_1, y_1) is a point on the line.

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

Rearrange to form $$Ax + By = C$$ by moving terms.

What is the significance of the slope in the equation $$y=mx+b$$ ?

It indicates the steepness and direction of the line.

Linear Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

y-intercept

2.

FLASHCARD QUESTION

Front

What is the formula for finding slope?

Back

3.

FLASHCARD QUESTION

Front

Back

2

4.

FLASHCARD QUESTION

Front

Back

5

5.

FLASHCARD QUESTION

Front

How do you determine if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive; if it falls, the slope is negative.

6.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

7.

FLASHCARD QUESTION

Front

What is the slope of a horizontal line?

Back

0

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