What is the equation of a line with a slope of 3 and a y-intercept of -2?

The equation of the line is $$y = 3x - 2$$ .

How can you determine the equation of a line from a graph?

To determine the equation of a line from a graph, identify the slope and the y-intercept, then use the slope-intercept form $$y = mx + b$$ .

What is the relationship between x and y in the equation $$y = 5x + 5$$ ?

In this equation, for every increase of 1 in x, y increases by 5, and the line crosses the y-axis at 5.

What is the equation of a line that passes through the points (1, 2) and (3, 6)?

First, find the slope: $$m = \frac{6 - 2}{3 - 1} = 2$$ . Then use point-slope form to find the equation: $$y - 2 = 2(x - 1)$$ , which simplifies to $$y = 2x$$ .

What does the term 'linear' mean in mathematics?

In mathematics, 'linear' refers to a relationship that can be graphically represented as a straight line, indicating a constant rate of change.

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

To convert from standard form $$Ax + By = C$$ to slope-intercept form $$y = mx + b$$ , solve for $$y$$ .

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

The coefficient $$m$$ represents the slope of the line, while $$b$$ represents the y-intercept, indicating where the line crosses the y-axis.

What is the equation of a line with a slope of -1 and passing through the point (0, 4)?

The equation of the line is $$y = -1x + 4$$ or simply $$y = -x + 4$$ .

Writing Linear Functions Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

What is the y-intercept in a linear equation?

Back

4.

FLASHCARD QUESTION

Front

How do you find the slope from two points?

Back

Tags

CCSS.8.EE.B.5

5.

FLASHCARD QUESTION

Front

What is slope-intercept form?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

6.

FLASHCARD QUESTION

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Tags

CCSS.8.EE.B.5

7.

FLASHCARD QUESTION

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Tags

CCSS.8.EE.B.5

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