What is the slope of a line perpendicular to $$y = -\frac{2}{3}x + 6$$ ?

The slope of a line perpendicular to $$y = -\frac{2}{3}x + 6$$ is $$\frac{3}{2}$$ .

What is the slope of the line $$y = 4x - 1$$ ?

The slope of the line $$y = 4x - 1$$ is 4.

What is the equation of a line that is parallel to $$y = \frac{1}{3}x + 2$$ and passes through the point (-12, 9)?

The equation is $$y = \frac{1}{3}x + 13$$ .

How do you determine the y-intercept from a linear equation in slope-intercept form?

The y-intercept is the value of b in the equation $$y = mx + b$$ .

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

The slope (m) is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

What does it mean for two lines to be parallel?

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

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

Use the point-slope form: $$y - y1 = m(x - x1)$$ , where (x1, y1) is the point and m is the slope.

How do you convert the equation $$y + 6 = \frac{2}{3}(x - 12)$$ into slope-intercept form?

Distribute and rearrange to get $$y = \frac{2}{3}x - 14$$ .

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.

NC Math 1 EOC Review Packet #2 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the General Form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

How do you convert from Slope-Intercept Form to General Form?

Back

3.

FLASHCARD QUESTION

Front

What is Slope-Intercept Form?

Back

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.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

How do you find the slope of a line parallel to a given line?

Back

The slope of a line parallel to a given line is the same as the slope of that line.

7.

FLASHCARD QUESTION

Front

Back

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