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 equation look like?

1 answer

To find the point-slope equation, 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 of the line.

Using the points (3, 34) and (10, 62), we first need to find the slope, which is given by:

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

m = (62 - 34) / (10 - 3)

m = 28 / 7

m = 4

Now we can choose either of the points to substitute into the point-slope formula. Let's choose (3, 34):

y - 34 = 4(x - 3)

This is the point-slope equation for the given set of points.