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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

Practice Test

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Exercise 10 Page 192

First, use the given points to calculate the slope. Then, identify the y-intercept.

y=2

An equation in slope-intercept form follows a specific format. y= mx+ b For an equation in this form, m is the slope and b is the y-intercept. We will start by looking at the given table.

x	y
- 2	2
0	2
2	2
4	2

Let's now substitute the first two points given in the table, (- 2,2) and (0,2), into the Slope Formula and calculate m.

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( - 2,2) & ( 0,2)

m=2- 2/0-( - 2)

▼

Simplify right-hand side

Subtract term

m=0/0-(- 2)

a-(- b)=a+b

m=0/0+2

Add terms

m=0/2

0/a=0

m=0

A slope of 0 means that the vertical change between any two points is 0. Now that we know the slope, we can write a partial version of the equation. y= 0 x+ b To complete the equation, we also need to determine the y-intercept b. We can consider the given table and find the value of y when x=0.

x	y
- 2	2
0	2
2	2
4	2

Since y= 2 when x=0, the y-intercept is 2. This means that the line crosses the y-axis at the point (0, 2). We can now complete the equation. y= 0x+( 2) ⇔ y=2

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