Now, solve for b, or the vertical intercept. You can can substitute the x and y-values for a point on the line into the equation to help you. Solve on paper or use the calculator. Then, enter your answer on Zearn.

Question

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(6, 150)(11, 250)
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y=20x + b

b=

Answer 1

To find the vertical intercept \( b \) in the equation \( y = 20x + b \), you can use one of the points provided: (6, 150) or (11, 250). We'll use the point (6, 150) for this example.

1. Substitute \( x = 6 \) and \( y = 150 \) into the equation:

\[ 150 = 20(6) + b \]

2. Calculate \( 20(6) \):

\[ 20(6) = 120 \]

3. Now substitute back into the equation:

\[ 150 = 120 + b \]

4. Solve for \( b \):

\[ b = 150 - 120 \] \[ b = 30 \]

So the vertical intercept \( b \) is 30.

You can also verify this with the second point (11, 250) if needed, but the calculations above confirm that:

\( b = 30 \).