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AlladinOne [14]
2 years ago
14

Write an equation of the form y = mx for the line shown below. If appropriate,

Mathematics
1 answer:
9966 [12]2 years ago
6 0

Answer:

y = - 0.5x

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 ) = (2, - 1) ← 2 points on the line

m = \frac{-1-2}{2-(-4)} = \frac{-3}{2+4} = \frac{-3}{6} = - 0.5

The line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - 0.5x + 0 . that is

y = - 0.5x

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