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.
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?
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