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qwelly [4]
3 years ago
8

How to find the equation of this line?

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer:

y = - \frac{6}{7} x - \frac{10}{7}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

m = \frac{-4-2}{3+4} = - \frac{6}{7} , thus

y = - \frac{6}{7} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ), then

2 = \frac{24}{7} + c ⇒ c = 2 - \frac{24}{7} = - \frac{10}{7}

y = - \frac{6}{7} x - \frac{10}{7} ← equation of line

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