What is the slope of the line represented by the equation $$y = 3x - 2$$ ?

The slope of the line is 3, which means for every unit increase in $$x$$ , $$y$$ increases by 3.

How do you find the y-intercept from the equation $$y = -2x + 5$$ ?

The y-intercept is 5, which means the line crosses the y-axis at the point (0, 5).

What is the slope of the line represented by the equation $$y = -\frac{1}{2}x + 4$$ ?

The slope of the line is $$-\frac{1}{2}$$ , indicating that for every 2 units increase in $$x$$ , $$y$$ decreases by 1.

How can you determine if two lines are parallel using their equations?

Two lines are parallel if they have the same slope. In slope-intercept form, this means they have the same value of $$m$$ .

What does it mean if a line has a slope of zero?

A slope of zero means the line is horizontal, indicating that $$y$$ remains constant regardless of the value of $$x$$ .

What is the slope of a vertical line?

A vertical line has an undefined slope because it does not have a defined rise over run.

How do you graph a linear equation in slope-intercept form?

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

What is the equation of a line with a slope of 2 and a y-intercept of -3?

The equation of the line is $$y = 2x - 3$$ .

How do you identify the correct equation of a line from a graph?

To identify the equation, find the slope (rise/run) and the y-intercept from the graph, then write the equation in slope-intercept form.

Bachman Matching an Equation of a Line with a Graph Flashcards

Student preview

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

How do you identify the slope from the slope-intercept form?

Back

3.

FLASHCARD QUESTION

Front

What does the y-intercept represent in a linear equation?

Back

4.

FLASHCARD QUESTION

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What does a negative slope indicate about a linear relationship?

Back

7.

FLASHCARD QUESTION

Front

Back

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