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Nitella [24]
3 years ago
14

Which of the following is a point slope equation of a line that passes through the points (10,5) and (4,-7)?

Mathematics
2 answers:
Rudik [331]3 years ago
7 0

Answer:

B) y - 5 = 2(x - 10)

Step-by-step explanation:

Slop = (5+7)/(10-4) = 12/6 = 2

Point slope form:

y - 5 = 2(x - 10)

or

y + 7 = 2(x - 4)

Katyanochek1 [597]3 years ago
7 0

For this case we have that the point slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

Where "m" is the slope and (x_ {0}, y_ {0}) is a point belonging to the line.

Then, we find the slope, for this we need two points:

(x_ {1}, y_ {1}) = (10,5)\\(x_ {2}, y_ {2}) = (4, -7)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\m = \frac {-7-5} {4-10}\\m = \frac {-12} {- 6}\\m = 2

We build the equation by choosing any of the points:

y-5 = 2 (x-10)

Answer:

y-5 = 2 (x-10)

Option B

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