Question

Calculate the value of the slope of a line that passes through the points: d) (2 ; 3) and (-2 ; -3)

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Neal

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Solution:

1. Formula for the slope (m) of a line passing through two points(x_1, y_1) and (x_2, y_2) is:

m = \frac{y_2 - y_1}{x_2 - x_1}

2. Substitute the given points(2, 3) and (-2, -3) into the formula:

*x_1 = 2, y_1 = 3

*x_2 = -2, y_2 = -3

3. Calculate:

m = \frac{-3 - 3}{-2 - 2} = \frac{-6}{-4} = \frac{3}{2}

4. Therefore, the slope of the line is\frac{3}{2} .

1. Formula for the slope (m) of a line passing through two points

2. Substitute the given points

*

*

3. Calculate:

4. Therefore, the slope of the line is

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