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Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.

1 Answer

6 votes

Answer:

The answer is


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

Explanation:

To find an equation of a line when given the slope and a point we use the formula


y - y_1 = m(x - x_1)

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is


y + 4 = - (2)/(5) (x - 5) \\ y + 4 = - (2)/(5) x + 2 \\ y = - (2)/(5) x + 2 - 4

We have the final answer as


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

Hope this helps you

User Rutvij Kotecha
by
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