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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 4 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= -1/2x - 5 ⇔ y= -1/2x+( -5) The slope is - 12. The y-intercept is - 5, so the graph crosses the y-axis at the point (0, - 5).

Graphing the Equation

A slope of - 12 means that for every 2 units we move in the positive horizontal direction, we move 1 unit in the negative vertical direction. m= -1/2 ⇔ rise/run=-1/2 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.

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