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What is the point slope form of a line between these two point: (1,2) and (3,5)?

User Rakensi
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Final answer:

The point-slope form of a line between the two points (1,2) and (3,5) is y - 2 = (3/2)(x - 1).

Step-by-step explanation:

The point-slope form of a line between the two points (1,2) and (3,5) is given by the equation y - y1 = m(x - x1), where (x1, y1) are the coordinates of the first point and m is the slope of the line.

First, let's find the slope of the line using the formula: m = (y2 - y1) / (x2 - x1). Substituting the given values, we get: m = (5 - 2) / (3 - 1) = 3/2.

Now, we can substitute the slope and one of the points into the point-slope form equation to get the final equation of the line. Let's use the point (1,2): y - 2 = (3/2)(x - 1).

User Mohammad Adnan
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