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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Cumulative Practice

Exercise 4 Page 194

Parallel lines have the same slope.

H

Consider the given graph.

We want to find which of the following is the equation of a line parallel to the given line. y&= 3x-10 y&= 1/3x+12 y&=- 3x+5 y&= - 1/3x-18 Remember that equations written in slope-intercept form follow a specific format. y= mx+ b In this form, m is the slope and b is the y-intercept. Two parallel lines have the same slope. We can find which of the given equations is parallel to the given line by comparing their slopes. Let's start by substituting the points given on the graph, (4,2) and (6,- 4), into the Slope Formula and calculating m.

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( 4,2) & ( 6,- 4)

m=- 4- 2/6- 4

Subtract terms

m=- 6/2

Calculate quotient

m= - 3

The slope of the given line is - 3. The only equation with the same slope is y=- 3 x+5. Therefore, the correct option is H.

Extra

Linear Equations

A linear equation is an equation whose graph is a line.

This type of equation contains at least one linear term and any number of constants. Let's see a few examples! & y=2x+1, & 3x=6 +3, & 2y+x=4 For those of you who are interested in learning more about the different types of linear equations and their graphs, you can read more about them on the following pages.

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Exercises