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Goshia [24]
3 years ago
9

Write the equation of the line that passes through the points (2, 3) and (3, -7). Put

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

y - 3 = -10 (x-2)

Step-by-step explanation:

The point-slope formula is y-y_1 = m (x-x_1). When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute m, x_1, and y_1 for real values.

1) First, find m, or the slope. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points. Then, solve:

m = \frac{(-7)-(3)}{(3)-(2)} \\m = \frac{-7-3}{3-2} \\m = \frac{-10}{1} \\m = -10

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, y-y_1 = m (x-x_1). Since m represents the slope, substitute -10 in its place. Since x_1 and y_1 represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

y - 3 = -10 (x-2)

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How to work this problem
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