How do you find the slope from the equation $$y = \frac{3}{2}x + 3$$ ?

The slope is $$m = \frac{3}{2}$$ .

What is the slope of the line represented by the equation $$y = -\frac{1}{2}x + 4$$ ?

The slope is $$m = -\frac{1}{2}$$ .

What is the y-intercept of the line represented by the equation $$y = 3x - 2$$ ?

The y-intercept is $$b = -2$$ .

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

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

What is the slope of a horizontal line?

The slope of a horizontal line is 0.

What is the slope of a vertical line?

The slope of a vertical line is undefined.

If a line has a slope of 1, what does that indicate about the angle of the line?

A slope of 1 indicates that the line rises one unit vertically for every one unit it moves horizontally, forming a 45-degree angle with the x-axis.

How can 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, solve for $$y$$ to get $$y = mx + b$$ .

What is the significance of the slope in real-world applications?

The slope represents the rate of change, indicating how one variable changes in relation to another.

slope intercept form flashcard 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

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

If the slope is 2 and the y-intercept is -1, what is the equation in slope-intercept form?

Back

6.

FLASHCARD QUESTION

Front

Back

'm' represents the slope of the line.

7.

FLASHCARD QUESTION

Front

How would you write the equation with a slope of -4 and a y-intercept of 5?

Back

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