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

The slope is $$\frac{3}{2}$$ , which indicates the line rises 3 units for every 2 units it moves to the right.

What is the slope of the line represented by the equation $$y = -\frac{1}{3}x + 4$$ ?

The slope is $$-\frac{1}{3}$$ , indicating the line descends gradually.

How do you identify the slope and y-intercept from the equation $$y = 3/4 x - 4$$ ?

The slope (m) is $$\frac{3}{4}$$ and the y-intercept (b) is -4.

What is the general form of a linear equation?

The general form of a linear equation is $$Ax + By + C = 0$$ , where A, B, and C are constants.

What does a slope of 0 indicate about a line?

A slope of 0 indicates that the line is horizontal and does not rise or fall.

What is the significance of a negative slope in a linear equation?

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

How do you convert the 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 slope of the line that passes through the points (2, 3) and (4, 7)?

The slope is $$m = \frac{7 - 3}{4 - 2} = 2$$ .

What does the term 'linear' mean in the context of linear equations?

'Linear' refers to a relationship that graphs as a straight line, indicating a constant rate of change.

How can you graph a linear equation?

To graph a linear equation, find the y-intercept, plot it on the y-axis, and use the slope to find another point.

Linear graphs and Equations * Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

FLASHCARD QUESTION

Front

How do you determine the slope of a linear graph?

Back

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

4.

FLASHCARD QUESTION

Front

If the slope of a line is -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends steeply from left to right.

Tags

CCSS.8.EE.B.5

5.

FLASHCARD QUESTION

Front

Back

The y-intercept is 6, which means the line crosses the y-axis at the point (0, 6).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.5

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.5

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