(11) Direct Variation & Slope-Intercept Form (8th)

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What is Direct Variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed in the form y = kx, where k is the constant of variation.

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What is the Slope-Intercept Form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

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How do you find the slope from an equation in slope-intercept form?

Back

The slope (m) can be directly identified from the equation in the form y = mx + b.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis, indicating the value of y when x = 0.

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If the slope of a line is positive, what does that indicate about the line's direction?

Back

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

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If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

What is the constant of proportionality in a direct variation equation?

Back

The constant of proportionality (k) is the constant factor that relates the two variables in a direct variation equation, expressed as y = kx.

Front

How do you write an equation in slope-intercept form from a word problem?

Back

Identify the fixed cost (y-intercept) and the variable cost per unit (slope) from the problem, then use the form y = mx + b.

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Back

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Back

The y-intercept (b) is 3.