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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Maintaining Mathematical Proficiency

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Exercise 4 Page 215

What information does a slope-intercept form equation give you?

Practice makes perfect

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.

Identifying Slope and Intercept

Since the given equation is not in slope-intercept form, let's rewrite it so that it will be easier to identify the slope and y-intercept.

-2y+12=-3x

LHS-12=RHS-12

-2y=-3x-12

.LHS /-2.=.RHS /-2.

y= 32x+6

Below we highlight the slope m and y-intercept b.

y= 32x+6 The slope is 32. The y-intercept is 6, so the graph crosses the y-axis at the point (0,6).

Graphing the Equation

A slope of 32 means that for every 2 units we move in the positive horizontal direction, we move 3 units in the positive vertical direction. m= 32 ⇔ rise/run=3/2 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.

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Exercises p.215