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 point)
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To find the point-slope equation, we need to use the formula:
y - y1 = m(x - x1)
where (x1, y1) is one of the given points and m is the slope.
First, let's calculate the slope (m) using the two points (3, 34) and (10, 62):
m = (y2 - y1) / (x2 - x1)
m = (62 - 34) / (10 - 3)
m = 28 / 7
m = 4
Now, let's use the point-slope formula and one of the given points (3, 34):
y - 34 = 4(x - 3)
This is the point-slope equation.
To find the point-slope equation using two given points (x1, y1) and (x2, y2), we can use the formula:
y - y1 = m(x - x1)
where m is the slope of the line.
First, let's find the slope (m) using the two points (3,34) and (10,62):
m = (y2 - y1) / (x2 - x1)
m = (62 - 34) / (10 - 3)
m = 28 / 7
m = 4
Now, we can use one of the given points, let's say (3, 34), and plug it into the equation along with the slope:
y - y1 = m(x - x1)
y - 34 = 4(x - 3)
This is the point-slope equation for the given points (3,34) and (10,62).
To find the point-slope equation of a line using two points, we can use the formula:
y - y1 = m(x - x1)
Where (x1, y1) represents one of the given points, and m represents the slope of the line.
First, let's find the slope (m) using the two given points (3, 34) and (10, 62):
m = (y2 - y1) / (x2 - x1)
= (62 - 34) / (10 - 3)
= 28 / 7
= 4
Now, we can choose either of the given points (3, 34) or (10, 62) to substitute into the point-slope equation. Let's use the point (3, 34):
y - 34 = 4(x - 3)
This is the point-slope equation for the given points.