Question

rate of change: -100
point on the graph: (6, 900)
solve for b to find the initial value.
y = -100x + b
900 = -100(6) + b
900 = -600 + b
+600 +600
□ = b
y = mx + b
rate of change initial value
when the initial value is not given, you
can use the rate of change and a point
on the graph to find the value of b.

Explanation:

Step1: Analyze the equation

We have the equation \(900 = - 600 + b\) after substituting the values into \(y=mx + b\).

Step2: Solve for \(b\)

To isolate \(b\), we add 600 to both sides of the equation. So, \(900+600=-600 + 600+b\).
Calculating the left - hand side: \(900 + 600=1500\), and the right - hand side simplifies to \(b\) (since \(-600 + 600 = 0\)).

Answer:

\(1500\)