What is the y-intercept, written as an ordered pair, in the equation $$y=\frac{5}{2}x+1$$ ?

The y-intercept is $$ig(0,\frac{5}{2}ig)$$ .

What is the y-intercept, written as an ordered pair, in the equation $$y=2x-4$$ ?

The y-intercept is $$ig(0,-4ig)$$ .

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

The y-intercept is $$ig(0, 4ig)$$ .

How can you determine if a line is increasing or decreasing from its slope?

If the slope is positive, the line is increasing; if negative, the line is decreasing.

What is the slope of a horizontal line?

The slope of a horizontal line is 0.

What is the slope of a vertical line?

The slope of a vertical line is undefined.

How do you convert the equation from standard form to slope-intercept form?

Rearrange the equation to isolate y: $$Ax + By = C$$ becomes $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

What is the significance of the slope in real-world applications?

The slope can represent rates such as speed, cost per item, or growth rate.

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

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

Graphing y=mx+b Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

Front

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5.

FLASHCARD QUESTION

Front

Define slope in the context of a linear equation.

Back

6.

FLASHCARD QUESTION

Front

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

7.

FLASHCARD QUESTION

Front

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

Back

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