Write the equation for a line with a slope of 2 and a y-intercept of 3.

The equation is $$y = 2x + 3$$ .

What is the equation of a line that passes through the point (0, 5)?

The equation is $$y = b$$ , where $$b = 5$$ , so $$y = 5$$ .

If a plane ascends at a rate of 3000 ft per minute from 20,000 ft, what is the equation for its height after x minutes?

The equation is $$H = 3000x + 20000$$ .

What is the equation for babysitting charges if the flat fee is $3 and the hourly rate is $5?

The equation is $$y = 5x + 3$$ .

If a car depreciates at $2000 per year, what is the equation for its value after x years if it was bought for $25,000?

The equation is $$y = -2000x + 25000$$ .

What does it mean if a linear equation has a negative slope?

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

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

To convert, solve for y in terms of x, rearranging the equation to the form $$y = mx + b$$ .

What is the significance of the slope in a real-world context?

The slope represents the rate of change between two variables, such as speed, cost, or growth.

Linear Equation in Slope-Intercept Form Flashcards

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

What does the y-intercept represent in a linear equation?

Back

3.

FLASHCARD QUESTION

Front

How do you find the slope from a linear equation in slope-intercept form?

Back

4.

FLASHCARD QUESTION

Front

Back

The slope is 3.

5.

FLASHCARD QUESTION

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

6.

FLASHCARD QUESTION

Front

Back

The y-intercept is -7.

7.

FLASHCARD QUESTION

Front

Back

The y-intercept is the constant term, which is 5.

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