What is the y-intercept of the line $$y = 2x + 3$$ ?

The y-intercept is 3, which is the value of $$b$$ in the slope-intercept form.

What is the slope of the line represented by the equation $$4x + 2y = 8$$ ?

Rearranging to slope-intercept form gives $$y = -2x + 4$$ , so the slope is -2.

What does the point (0, b) represent in the context of a line?

The point (0, b) represents the y-intercept of the line.

If a line has a slope of 0, what type of line is it?

A line with a slope of 0 is a horizontal line.

What is the slope of the line $$y = \frac{1}{2}x - 1$$ ?

The slope of the line is $$\frac{1}{2}$$ .

How do you graph the equation $$x = 3$$ ?

Graph a vertical line that crosses the x-axis at 3.

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

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

What is the equation of the line that passes through the point (1, 2) with a slope of 3?

Using point-slope form, the equation is $$y - 2 = 3(x - 1)$$ , which simplifies to $$y = 3x - 1$$ .

Equations of Lines Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a line?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

4.

FLASHCARD QUESTION

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

5.

FLASHCARD QUESTION

Front

What is the equation of a vertical line?

Back

6.

FLASHCARD QUESTION

Front

What is the equation of a horizontal line?

Back

7.

FLASHCARD QUESTION

Front

How can you determine if two lines are parallel or perpendicular from their equations?

Back

Convert both equations to slope-intercept form and compare their slopes.

Tags

CCSS.8.EE.B.6

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