Question

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

Answer 1

The answer to this question is c

Answer 2

C

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 =
`(-3-0)/(0+1)` = - 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