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
Write an equation in Point-slope form
The equation in point-slope form would be:
\(y - 22 = m(x - 0)\)
Where:
- \(y\) is the water level of the river after \(x\) days of rain
- \(22\) is the initial water level before the rain began
- \(m\) is the slope of the line representing the change in water level over time
To find the slope, we first calculate the change in water level after 10 days compared to 3 days:
Change in water level = 62 feet - 34 feet = 28 feet
Change in time = 10 days - 3 days = 7 days
Therefore, the slope \(m\) can be found by dividing the change in water level by the change in time:
\(m = \frac{28}{7} = 4\)
Substitute the values of \(22\) and \(4\) into the equation:
\(y - 22 = 4(x - 0)\)
Therefore, the equation in point-slope form is:
\(y - 22 = 4x\)