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Alja [10]
3 years ago
13

Write the equation of the line given two points (5, 6) (4, 8). Write the answer in point-slope form.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (4, 8)

m = \frac{8-6}{4-5} = \frac{2}{-1} = - 2

There are 2 possible equations, however both are equivalent

Using (a, b) = (5, 6), then

y - 6 = - 2(x - 5)

Using (a, b) = (4, 8), then

y - 8 = - 2(x - 4)

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