Question

Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. The river was 22 feet before the rain began.

what is an equation in Point-slope form.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Here is the equation in point-slope form:

y - 22 = m(x - 0)

Answer 2

is there another way

Answer 3

[AI-generated answer — Bot GPT 3.5]

Yes, another way to write the equation in point-slope form is:

y - 22 = m(x - 0)

This equation represents a linear relationship between the number of days of rain (x) and the water level of the river (y).

Answer 4

is it that or 3x+34y=22 or 10x-62y=22 or (y-10)=1/4(x-62) or something else

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the equation in point-slope form given the water levels after 3 and 10 days of rain, we can use the point-slope formula:

y - y₁ = m(x - x₁)

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

We can use the points (3, 34) and (10, 62) to find the equation.

First, find the slope m:

m = (y₂ - y₁) / (x₂ - x₁)
m = (62 - 34) / (10 - 3)
m = 28 / 7
m = 4

Using point-slope formula with the point (3, 34):

y - 34 = 4(x - 3)

Solving it further:

y - 34 = 4x - 12
y = 4x + 22

Therefore, the equation in point-slope form is y = 4x + 22.