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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 2 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.

6x-y=-1

LHS+1=RHS+1

6x-y+1=0

LHS+y=RHS+y

6x+1=y

Rearrange equation

y=6x+1

Below we highlight the slope m and y-intercept b. y= 6x+1 The slope is 6. The y-intercept is 1, so the graph crosses the y-axis at the point (0,1).

Graphing the Equation

A slope of 6 means that for every 1 unit we move in the positive horizontal direction, we move 6 units in the positive vertical direction. m= 6/1 ⇔ rise/run=6/1 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