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Instructions: Write the equation of the line in Point-Slope Form given the information below. Use Point One as the given point in your equation.Point One =(−3,3)=(−3,3)Point Two =(−2,−1)=(−2,−1)Point-Slope Form:

Question

Instructions: Write the equation of the line in Point-Slope Form given the information below. Use Point One as the given point in your equation.Point One =(−3,3)=(−3,3)Point Two =(−2,−1)=(−2,−1)Point-Slope Form:

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Solution

The point-slope form of a line is given by the formula:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line.

First, we need to find the slope (m) of the line. The slope is given by the formula:

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

Substituting the given points into the formula, we get:

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

Now, we can substitute m and the coordinates of Point One into the point-slope form:

y - 3 = -4(x - (-3))

Simplify the equation to get the final answer:

y - 3 = -4x - 12

So, the equation of the line in point-slope form is y - 3 = -4x - 12.

This problem has been solved

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