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Write the equation of the line that passes through (4, 1) and (2, -3).

User Dseuss
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Answer: y = 2x - 7

Step-by-step explanation: To find the equation of the line passing through the points (4, 1) and (2, -3), we can use the point-slope form of a linear equation:

1. Find the slope (m) of the line using the formula:

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

Let's use the points (4, 1) and (2, -3):

m = (-3 - 1) / (2 - 4)

m = -4 / -2

m = 2

2. Now that we have the slope (m), we can choose one of the given points, let's say (4, 1), and substitute it into the point-slope form:

y - y1 = m(x - x1)

Substituting the values:

y - 1 = 2(x - 4)

3. Simplify the equation:

y - 1 = 2x - 8

4. Rearrange the equation to slope-intercept form (y = mx + b):

y = 2x - 7

So, the equation of the line passing through the points (4, 1) and (2, -3) is:

y = 2x - 7

User Alex Argo
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