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nika2105 [10]
3 years ago
15

Write the equation in point slope form 4,1 -2,7

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

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

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

The slope can be found using the formula:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

We have the following points:

(x_ {1}, y_ {1}): (-2,7)\\(x_ {2}, y_ {2}): (4,1)

Thus, the slope is:

m = \frac {1-7} {4 - (- 2)} = \frac {-6} {4 + 2} = \frac {-6} {6} = - 1

Thus, the equation is of the form:

y = -x + b

We substitute a point and find "b":

1 = -4 + b\\1 + 4 = b\\b = 5

Finally, the equation is:

y = -x + 5

Answer:

y = -x + 5

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