The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and m represents the slope of the line.
We are given two points: (3, 45) and (10, 10). To find the slope, we can use the formula:
m = (change in y) / (change in x)
Using the points (3, 45) and (10, 10), the change in y is 10 - 45 = -35 and the change in x is 10 - 3 = 7.
Thus, the slope is m = (-35) / 7 = -5.
Using the first point (3, 45) and the slope -5 in the point-slope equation, we get:
(y - 45) = -5(x - 3)
Therefore, the correct answer is D. (y - 45) = -5(x - 3)
Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. Given the two points we know: (3, 45) and (10, 10), what would the point slope equation look like?
A. (y - 10) = -5(x+10)
B. (y + 10) = -5(x - 10)
C. (y - 3) = -5(x-45)
D. (y - 45) = -5(x - 3)
1 answer