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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: (4,5)(4,5)Point Two: (−3,3)(−3,3)Equation: Slope: Point:

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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: (4,5)(4,5)Point Two: (−3,3)(−3,3)Equation: Slope: Point:

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Solution 1

The slope between two points (x1, y1) and (x2, y2) is given by the formula:

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

Here, Point One is (4,5) and Point Two is (-3,3). So, substituting these values into the formula, we get:

m = (3 - 5) / (-3 - 4) = -2 / -7 = 2/7

So, the slope (m) is 2/7.

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

y - y1 = m(x - x1)

Substituting the slope we found and the coordinates of Point One into this equation, we get:

y - 5 = 2/7(x - 4)

So, the equation of the line in point-slope form is y - 5 = 2/7(x - 4).

The slope is 2/7.

This problem has been solved

Solution 2

The slope (m) between two points can be found using the formula m = (y2 - y1) / (x2 - x1).

Given Point One (x1, y1) = (4, 5) and Point Two (x2, y2) = (-3, 3), we can substitute these values into the formula:

m = (3 - 5) / (-3 - 4) = -2 / -7 = 2/7

So, the slope of the line is 2/7.

The point-slope form of a line is given by the formula y - y1 = m(x - x1).

Substituting the given point (4,5) and the calculated slope into this formula, we get:

y - 5 = 2/7(x - 4)

So, the equation of the line in point-slope form is y - 5 = 2/7(x - 4).

The slope is 2/7.

This problem has been solved

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