To find the equation of the line passing through the points (0, 3) and (5, -7), we first need to find the slope of the line. The formula for finding the slope between two points (x1, y1) and (x2, y2) is:
slope = (y2 - y1) / (x2 - x1)
Using the coordinates (0, 3) and (5, -7):
slope = (-7 - 3) / (5 - 0)
slope = -10 / 5
slope = -2
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (0, 3) and the slope -2:
y - 3 = -2(x - 0)
y - 3 = -2x
Simplifying the equation gives:
y = -2x + 3
Therefore, the equation of the line passing through the points (0, 3) and (5, -7) is y = -2x + 3.
Write an equation for a line with the coordinates (0, 3), and (5, -7)
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Apologies for the mistake in my previous response. Let's correct it:
First, Calculating the slope:
m = (y2 - y1) / (x2 - x1)
m = (-7 - 3) / (5 - 0)
m = -10 / 5
m = -2
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (0, 3) and the slope -2:
y - 3 = -2(x - 0)
y - 3 = -2x
Simplifying gives:
y = -2x + 3
Therefore, the correct equation of the line passing through the points (0, 3) and (5, -7) is y = -2x + 3. Thank you for catching that mistake, and I appreciate your attention to detail.
First, Calculating the slope:
m = (y2 - y1) / (x2 - x1)
m = (-7 - 3) / (5 - 0)
m = -10 / 5
m = -2
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (0, 3) and the slope -2:
y - 3 = -2(x - 0)
y - 3 = -2x
Simplifying gives:
y = -2x + 3
Therefore, the correct equation of the line passing through the points (0, 3) and (5, -7) is y = -2x + 3. Thank you for catching that mistake, and I appreciate your attention to detail.