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

x
y
(2, 400)(4, 720)
0
1
2
3
4
5
6
7
0
80
160
240
320
400
480
560
640
720
800
880
960
1,040
1,120
1,200
1,280
1,360
Time (hours)
Elevation (meters)
y=160x+b

b=

Answer 1

To find the vertical intercept \( b \) in the equation \( y = 160x + b \), you can substitute the coordinates of a point on the line into the equation. You have the points (2, 400) and (4, 720) to work with.

Let's use the point (2, 400):

1. Substitute \( x = 2 \) and \( y = 400 \) into the equation:

\[ 400 = 160(2) + b \]

2. Calculate \( 160(2) \):

\[ 160(2) = 320 \]

3. Now substitute this value back into the equation:

\[ 400 = 320 + b \]

4. To isolate \( b \), subtract 320 from both sides:

\[ b = 400 - 320 \]

5. Calculate:

\[ b = 80 \]

So the vertical intercept \( b \) is:

\[ \boxed{80} \]