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Write the point slope form of an equation of the line through the points (-2,-3) and (-7,4) please answer

User GleasonK
by
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1 Answer

5 votes

Answer:

see explanation

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (- 7, 4)

m =
(4+3)/(-7+2) =
(7)/(-5) = -
(7)/(5)

We can use either of the 2 points for (a, b)

Using (a, b) = (- 7, 4), then

y - 4 = -
(7)/(5)(x - (- 7)), that is

y - 4 = -
(7)/(5)(x + 7) ← in point- slope form

User Vlado
by
4.3k points
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