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EleoNora [17]
3 years ago
9

What is the equation that represents the line?

Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

see explanation

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

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

y = \frac{3}{4} x + c ← is the partial equation

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

Using (2, - 3), then

- 3 = \frac{3}{2} + c ⇒ c = - 3 - \frac{3}{2} = - \frac{9}{2}

y = \frac{3}{4} x - \frac{9}{2} ← equation of line

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