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Alexxx [7]
3 years ago
14

Which equation is a point slope form equation for line AB ?

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

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

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

Where:

m: It's the slope

(x_ {0}, y_ {0}):It is a point through which the line passes

To find the slope, we need two points through which the line passes, observing the image we have:

(x_ {1}, y_ {1}): (1,6)\\(x_ {2}, y_ {2}): (5, -2)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-2-6} {5-1} = \frac {-8} {4} = -2

Thus, the equation is of the form:

y-y_ {0} = - 2 (x-x_ {0})

We choose a point:

(x_{0}, y_ {0}) :( 5, -2)

Finally, the equation is:

y - (- 2) = - 2 (x-5)\\y + 2 = -2 (x-5)

Answer:

y + 2 = -2 (x-5)

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