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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

2. Slope of a Line

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Exercise 18 Page 153

Substitute the given points into the Slope Formula.

$2$

Practice makes perfect

We can calculate the slope by substituting the given points into the Slope Formula.

m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

Note that it does not matter which point we choose to use for

(x_{1}, y_{1})

and

(x_{2}, y_{2}),

since the result of using the Slope Formula will be the same.

m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

SubstitutePoints

Substitute $(- 3, 1)$ & $(- 1, 5)$

m = \frac{5 - 1}{- 1 - ( - 3 )}

▼

Add and subtract terms

$a - (- b) = a + b$

m = \frac{5 - 1}{- 1 + 3}

Add and subtract terms

m = \frac{4}{2}

Calculate quotient

m = 2

The slope of the line that passes through the given points is

2 .

Subchapter links

Try It p.149-150

Self-Assessment for Concepts & Skills p.150

Self-Assessment for Problem Solving p.151

Review & Refresh p.152

Concepts, Skills, & Problem Solving p.152-154