How do you find the y-intercept from the equation $$8y = 2x - 4$$ ?

To find the y-intercept, set $$x = 0$$ and solve for $$y$$ . The y-intercept is $$\left(0, -\frac{1}{2}\right)$$ .

What is the graphical representation of the equation $$y = -x + 2$$ ?

The graph of $$y = -x + 2$$ is a straight line with a slope of -1 and a y-intercept at (0, 2).

How do you determine the number of texts sent if Danielle's bill is $52.00?

Using the equation $$y = 0.10x + 8$$ , set $$y = 52$$ and solve for $$x$$ . The solution is $$x = 440$$ .

What is the significance of the points (1, 6) and (3, -4) in finding the slope?

These points are used to calculate the slope of the line connecting them, which is $$m = \frac{-4 - 6}{3 - 1} = -5$$ .

What does it mean if a line has a positive slope?

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

What does it mean if a line has a negative slope?

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

What is the formula for the slope of a line given two points?

The formula for the slope (m) between two points (x1, y1) and (x2, y2) is $$m = \frac{y2 - y1}{x2 - x1}$$ .

How can you identify the slope and y-intercept from the equation $$y = 3x - 5$$ ?

In the equation $$y = 3x - 5$$ , the slope (m) is 3 and the y-intercept (b) is -5.

Linear Functions Review

Flashcard

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.B.5, 8.EE.B.6, 8.F.B.4

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is a linear function?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.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 dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction it goes.

Tags

CCSS.8.EE.B.5

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.EE.B.5

FLASHCARD QUESTION

Front

What is the y-intercept of a linear function?

Back

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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