What is the equation of a line with a slope of $$\frac{2}{5}$$ and a y-intercept of $$-3$$ ?

The equation is $$y = \frac{2}{5}x - 3$$ .

What does it mean if a line has a slope of zero?

A line with a slope of zero is horizontal, meaning there is no change in the y-value as the x-value changes.

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, indicating the value of $$y$$ when $$x = 0$$ .

How can you identify a linear equation from its graph?

A linear equation will graph as a straight line, with a constant slope throughout.

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 negative slope indicate about a line?

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

How do you convert the slope-intercept form to standard form?

To convert from slope-intercept form $$y = mx + b$$ to standard form $$Ax + By = C$$ , rearrange the equation to isolate $$Ax$$ and $$By$$ on one side.

Linear Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear equation?

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 and the direction it goes (positive slope means the line rises, negative slope means it falls).

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a linear equation?

Back

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.5

6.

FLASHCARD QUESTION

Front

How do you determine the slope from two points?

Back

Tags

CCSS.8.EE.B.5

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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