What is the slope in the equation $$y=4x+7$$ ?

The slope is $$4$$ (up $$1$$ right).

What is the slope in the equation $$y=-\frac{2}{3}x+2$$ ?

The slope is $$-\frac{2}{3}$$ .

What is the y-intercept in the equation $$y=-\frac{3}{2}x+5$$ ?

The y-intercept is $$\left(0, 5\right)$$ .

What direction does the slope move if $$m=-2$$ ?

The slope moves $$2$$ down $$1$$ right.

What direction does the slope move if $$m=\frac{1}{2}$$ ?

The slope moves $$1$$ up $$2$$ right.

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

The y-intercept is the value of $$b$$ when $$x=0$$ .

What does a positive slope indicate about a line?

A positive slope indicates that the line rises as it moves from left to right.

What does a negative slope indicate about a line?

A negative slope indicates that the line falls as it moves from left to right.

If the slope is zero, what does this mean about the line?

A slope of zero means the line is horizontal.

If the slope is undefined, what does this mean about the line?

An undefined slope means the line is vertical.

How can you determine the slope from two points on a line, say (x1, y1) and (x2, y2)?

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

What is the significance of the y-intercept in a graph?

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

In the equation $$y=3x-4$$ , what is the slope and y-intercept?

The slope is $$3$$ and the y-intercept is $$\left(0, -4\right)$$ .

What does the term 'rise over run' refer to in slope?

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

5.22 Slope, y-intercept, Graphing, y=mx+b Part 3 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

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5.

FLASHCARD QUESTION

Front

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6.

FLASHCARD QUESTION

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, represented as the ratio of the vertical change to the horizontal change (rise over run).

7.

FLASHCARD QUESTION

Front

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

Back

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