Suppose that the water level of a river is 34 feet after 3 days of Rain and 62 feet after 10 days of rain.

given the two points we know: (3, 34) and (10, 62), what would the point slope eqation look like?

A. (Y-34) =4 (x-10)
B. (Y-34)=4(x-3)
C.(y-10)=4(x+62)
D.(y-3) =4(x-34)

2 answers

To find the point-slope equation, we need to use the formula:

(y - y₁) = m(x - x₁)

where (x₁, y₁) is a given point on the line, and m is the slope of the line.

Given the points (3, 34) and (10, 62), we can find the slope using the formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (62 - 34)/(10 - 3) = 28/7 = 4

Now, we can substitute the values into the point-slope equation:

(y - 34) = 4(x - 3)

Therefore, the correct answer is B. (Y-34)=4(x-3).
What is the rate of change for this scenario?