Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
6. Writing Equations in Slope-Intercept Form
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Exercise 8 Page 177

Use the slope formula.

See solution.

Practice makes perfect

We are given a graph that represents the cost y in dollars to open an online gaming account and buy x games.

To find the slope of the line, we need to choose two points on it. Let's start by substituting the points (0,15) and (9,105) into the slope formula and calculating m.
m = y_2-y_1/x_2-x_1
m=105- 15/9- 0
â–Ľ
Simplify right-hand side
m=90/9
m=10
We calculated that the slope of the given line is 10, which means that each game costs 10 dollars. Now let's find the y-intercept. Remember that the y-intercept is the y-value where the line crosses the y-axis.
We can see that the function intercepts the y-axis at (0, 15). This means that the value of b is 15. The y-intercept shows that it costs 15 dollars to open an online gaming account before buying any games.

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 More information about the different types of linear equations and their graphs can be found on the following pages.