What is the slope of a line parallel to the line represented by the equation $$y = 2x + 3$$ ?

The slope of a line parallel to $$y = 2x + 3$$ is 2.

What is the slope of a line perpendicular to the line represented by the equation $$y = -\frac{5}{2}x + 2$$ ?

The slope of a line perpendicular to $$y = -\frac{5}{2}x + 2$$ is $$\frac{2}{5}$$ .

How do you determine the slope from the equation of a line in standard form $$Ax + By = C$$ ?

To determine the slope from the standard form $$Ax + By = C$$ , rearrange it to slope-intercept form $$y = mx + b$$ , where $$m$$ is the slope.

How do you convert the equation $$5x + 2y = 1$$ to slope-intercept form?

To convert $$5x + 2y = 1$$ to slope-intercept form, solve for $$y$$ : $$2y = -5x + 1$$ , then $$y = -\frac{5}{2}x + \frac{1}{2}$$ .

What is the y-intercept of the line represented by the equation $$y = 3x - 4$$ ?

The y-intercept of the line $$y = 3x - 4$$ is -4.

If a line has a slope of 3 and passes through the point (1, 2), what is its equation in point-slope form?

The equation in point-slope form is $$y - 2 = 3(x - 1)$$ .

What does it mean for two lines to be parallel?

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

What does it mean for two lines to be perpendicular?

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

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

The slope $$m$$ is calculated as $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

What is the formula for the slope-intercept form of a linear equation?

The formula for the slope-intercept form is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

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

Use the point-slope form: $$y - y_1 = m(x - x_1)$$ , substituting the slope and the coordinates of the point.

4.1-4.3 MINOR Flashcards

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1.

FLASHCARD QUESTION

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CCSS.8.EE.B.5

2.

FLASHCARD QUESTION

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How do you find the equation of a line parallel to a given line that passes through a specific point?

Back

3.

FLASHCARD QUESTION

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

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4.

FLASHCARD QUESTION

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CCSS.8.EE.B.6

5.

FLASHCARD QUESTION

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CCSS.8.EE.B.5

6.

FLASHCARD QUESTION

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What is the equation of a line in slope-intercept form?

Back

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CCSS.8.EE.B.6

CCSS.8.F.A.3

7.

FLASHCARD QUESTION

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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