How do you find the y-intercept from the equation $$y = mx + b$$ ?

The y-intercept is the value of $$y$$ when $$x = 0$$ , which is given by $$b$$ in the equation.

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

The slope is calculated using the formula $$m = \frac{{y2 - y1}}{{x2 - x1}}$$ .

What is the slope of the line passing through the points (1, 2) and (3, 6)?

The slope is $$m = \frac{{6 - 2}}{{3 - 1}} = \frac{4}{2} = 2$$ .

What does a positive slope indicate about a line?

A positive slope indicates that as x increases, y also increases.

What does a negative slope indicate about a line?

A negative slope indicates that as x increases, y decreases.

How can you identify the slope from a graph?

The slope can be identified by selecting two points on the line and calculating the rise over run.

If the slope of a line is 3, what does that mean in terms of rise and run?

It means for every 1 unit increase in x (run), y increases by 3 units (rise).

What is the equation of a line with a slope of 4 and a y-intercept of -1?

The equation is $$y = 4x - 1$$ .

Identifying y=mx+b graphs 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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

The y-intercept is (0, 3).

5.

FLASHCARD QUESTION

Front

Back

The slope is -5.

6.

FLASHCARD QUESTION

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

7.

FLASHCARD QUESTION

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

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