Convert the equation $$y + 5 = -3(x - 6)$$ into slope-intercept form.

The slope-intercept form is $$y = -3x + 13$$ .

What is the slope-intercept form of the equation $$y + 9 = 3(x - 1)$$ ?

The slope-intercept form is $$y = 3x - 12$$ .

How do you find the y-intercept from the point-slope form?

To find the y-intercept from point-slope form, convert the equation to slope-intercept form and identify the constant term.

What is the point-slope equation for a line with slope $$\frac{3}{4}$$ passing through the point (-2, -4)?

The point-slope equation is $$y + 4 = \frac{3}{4}(x + 2)$$ .

What does the term 'slope' indicate in a graph?

The slope indicates the steepness and direction of the line; a positive slope rises to the right, while a negative slope falls to the right.

How can you graph a line using point-slope form?

To graph a line using point-slope form, plot the point (x_1, y_1) and use the slope m to determine the rise over run.

What is the significance of the point (x_1, y_1) in the point-slope form?

The point (x_1, y_1) is a specific point on the line that helps define its position.

What is the relationship between slope and parallel lines?

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

What is the relationship between slope and perpendicular lines?

Perpendicular lines have slopes that are negative reciprocals of each other.

Point Slope Practice Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

How do you convert from point-slope form to slope-intercept form?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

3.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

4.

FLASHCARD QUESTION

Front

Back

The slope of the line is -3.

Tags

CCSS.8.EE.B.5

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

7.

FLASHCARD QUESTION

Front

Back

The slope is 2 and the y-intercept is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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