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

3x + y = -3

Explanation:

Use the slope formula to get m = -3, then use b = -3 to write y = 3x - 3, or

3x + y = -3.

Answer 2

we have that
points (−1, 0) and (0, −3)
step 1
find the slope m
m=(y2-y1)/(x2-x1)-------> m=(-3-0)/(0+1)--------> m=-3

step 2
find yhe equation of the line with m and the point (0, −3)
y-y1=m*(x-x1)-------> y+3=-3*(x-0)-----> y=-3x-3-----> y+3x=-3

the answer is the option
C) 3x + y = −3

see the attached figure