Envision Math 2.0: Grade 8, Volume 1
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Review

Exercise 1 Page 203

The initial value of a linear function y=mx+b is equal to b.

Function A, see solution.

Practice makes perfect

We are given two linear functions, A and B. We want to determine which of them has the greater initial value. Let's find the initial value of Function A. y=-3x+ 2 Function A is given in the slope-intercept form, and therefore we can see that the initial value is equal to 2. Now, let find the initial value of Function B.

The initial value is the y-value of the point with x=0. Notice that we can find the initial value by completing the pattern.

We found that when x= 0 the y-value is -3. This means that the initial value of Function B is -3. Now we can compare the initial values.

Function Initial Value
Function A 2
Function B -3

We can see that Function A has the greater initial value.