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Instructions: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slope form. State the slope.Point One: (1,2)(1,2)Point Two: (0,−1)

Question

Instructions: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slope form. State the slope.Point One: (1,2)(1,2)Point Two: (0,−1)

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Solution

Step 1: Find the slope (m) between the two points using the formula m = (y2 - y1) / (x2 - x1). Here, (x1, y1) is the first point (1,2) and (x2, y2) is the second point (0,-1).

So, m = (-1 - 2) / (0 - 1) = -3 / -1 = 3. So, the slope is 3.

Step 2: Use the slope (m) and point one (x1, y1) = (1,2) to write the equation of the line in point-slope form. The point-slope form of a line is y - y1 = m(x - x1).

Substituting the values, we get y - 2 = 3(x - 1).

So, the equation of the line in point-slope form is y - 2 = 3(x - 1).

This problem has been solved

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