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Big Ideas Math: Modeling Real Life, Grade 8

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Big Ideas Math: Modeling Real Life, Grade 8 View details

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Exercise 6 Page 192

What information can you learn from the slope-intercept form of an equation?

Linear equations written in slope-intercept form follow a specific format. y= mx+ b In this form, m represents the slope of the line and b represents the y-intercept. Below we have highlighted the slope m and y-intercept b.

y= 2/3x ⇔ y= 2/3x+ 0 The slope is 23. The y-intercept is 0, so the graph crosses the y-axis at the point (0, 0).

Graphing the Equation

A slope of 23 means that for every 3 units we move in the positive horizontal direction, we move 2 units in the positive vertical direction. m= 2/3 ⇔ rise/run=2/3 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.

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