What is the slope of the line represented by the equation $$y = -\frac{1}{2}x + 3$$ ?

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

How do you convert the equation $$2x + 3y = 6$$ to slope-intercept form?

Rearranging gives $$y = -\frac{2}{3}x + 2$$ .

What is the equation of a line that is parallel to $$y = 4x + 1$$ ?

Any line parallel to this will have the same slope, so it can be written as $$y = 4x + c$$ , where $$c$$ is any constant.

If a line has a slope of -1, what is the slope of a line perpendicular to it?

The slope of the perpendicular line will be 1, since the product of the slopes must equal -1.

What is the general form of a linear equation?

The general form is $$Ax + By + C = 0$$ , where A, B, and C are constants.

How do you determine if a line is vertical?

A vertical line has an undefined slope and is represented by the equation $$x = c$$ , where $$c$$ is a constant.

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 to the right, while a negative slope falls to the right.

Write the equation of a line with a slope of -2 and a y-intercept of 4.

The equation is $$y = -2x + 4$$ .

What does the term 'slope' refer to in a graph?

The slope refers to the ratio of the vertical change to the horizontal change between two points on the line.

Review SM1 Final Math Mods 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

2.

FLASHCARD QUESTION

Front

Identify the characteristics of a horizontal line.

Back

3.

FLASHCARD QUESTION

Front

What does it mean for two lines to be perpendicular?

Back

4.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points?

Back

5.

FLASHCARD QUESTION

Front

What is the y-intercept of a line?

Back

6.

FLASHCARD QUESTION

Front

Write the equation of a line with a slope of 3 and a y-intercept of -2.

Back

7.

FLASHCARD QUESTION

Front

Back

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