camerontramble4 camerontramble4
  • 06-06-2019
  • Mathematics
contestada

Write the equation of the line passing through (−1, 0) and (0, −3).
A) 3x - y = 3
B) x - 3y = 3
C) 3x + y = −3
D) x + 3y = −3

Respuesta :

jimrgrant1 jimrgrant1
  • 06-06-2019

Answer:

C

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 ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-0}{0+1}[/tex] = - 3

note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - 3x - 3 ← in slope- intercept form

Add 3x to both sides

3x + y = - 3 ← in standard form → C

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jazminnn233 jazminnn233
  • 06-06-2019
The answer to this question is c
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