Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Inductive and Deductive Reasoning
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Exercise 43 Page 458

Write the relationship as a linear equation.

The value of y is 2 more than 3 times the value of x.

Practice makes perfect

Let's examine the difference in x and y between consecutive points.

From the diagram, we see that y increases by 3 as x increases by 1. Therefore, this is a linear equation with a slope of m= 3. y= 3x+b Also, since y=2 when x=0, the y-intercept of the equation is b= 2. Now we can mathematically express the relationship between x and y. y=3x+ 2 In words, we can write this as the value of y is 2 more than 3 times the value of x.