Question

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? (1 point)

Answer 1

To find the point-slope equation using the two given points, we can use the formula:

y - y1 = m(x - x1)

Where (x1, y1) is one of the given points and m is the slope of the line passing through these two points.

First, let's calculate the slope. The formula for slope is:

m = (y2 - y1) / (x2 - x1)

Using the points (3, 45) and (10, 10):

m = (10 - 45) / (10 - 3)
= -35 / 7
= -5

Now, we can choose one of the points to substitute into the point-slope equation. Let's use (3, 45):

y - 45 = -5(x - 3)

Therefore, the point-slope equation would be y - 45 = -5(x - 3).