How can you convert the point-slope form to slope-intercept form?

To convert from point-slope form $$y - y1 = m(x - x1)$$ to slope-intercept form, solve for $$y$$ .

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

The point-slope form is given by the equation $$y - y1 = m(x - x1)$$ , where $$(x1, y1)$$ is a point on the line and $$m$$ is the slope.

How do you determine the equation of a line given a slope and a point?

Use the point-slope form $$y - y1 = m(x - x1)$$ , substituting the slope and the coordinates of the point.

What is the relationship between parallel lines in terms of slope?

Parallel lines have the same slope but different y-intercepts.

What is the relationship between perpendicular lines in terms of slope?

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one slope is $$m$$ , the other is $$-\frac{1}{m}$$ .

How can you find the equation of a line from a table of values?

Identify two points from the table, calculate the slope, and then use the point-slope form to find the equation.

What does the term 'linear equation' mean?

A linear equation is an equation that represents a straight line when graphed, typically in the form $$y = mx + b$$ .

What is the importance of graphing linear equations?

Graphing linear equations helps visualize relationships between variables and understand the behavior of the equation.

Writing Equations of Lines Flashcards

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15 questions

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1.

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

2.

FLASHCARD QUESTION

Front

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

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

What is the significance of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

5.

FLASHCARD QUESTION

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

6.

FLASHCARD QUESTION

Front

What is the equation of a horizontal line?

Back

7.

FLASHCARD QUESTION

Front

What is the equation of a vertical line?

Back

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