How do you solve the equation $$\frac{1}{3}x = 12$$ for x?

Multiply both sides by 3 to get $$x = 36$$ .

What is the equation of a line with slope 3 passing through the point (-2, -5)?

Using the point-slope form, the equation is $$y + 5 = 3(x + 2)$$ .

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

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

What is the general form of a linear equation?

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

How do you solve the equation $$x - 11 = -5$$ for x?

Add 11 to both sides to get $$x = 6$$ .

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

Coordinates represent points on the graph of the equation. Each point satisfies the equation.

What is the slope of the line represented by the equation $$x = 7$$ ?

The slope is undefined because the line is vertical.

How can you graph a linear equation?

To graph a linear equation, find the y-intercept, plot it on the graph, and use the slope to find another point.

What is the relationship between parallel lines and their slopes?

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

P F Test 3 -- Linear Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

2.

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. It indicates how steep the line is and the direction it goes (positive slope means it rises, negative slope means it falls).

3.

FLASHCARD QUESTION

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

What is the y-intercept of a line?

Back

6.

FLASHCARD QUESTION

Front

What does it mean if a line has an undefined slope?

Back

7.

FLASHCARD QUESTION

Front

Back

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