Which is an equation of the line with slope - 3 and passes through (2,-1) ?

A. y = 5x - 3

B. y = - 3 (x + 5)

C. 3x + y = 5

D. - 3x + y = 5

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)

Here m = - 3, so

y = - 3x + c ← is the partial equation

T find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← in slope - intercept form

Add 3x to both sides

3x + y = 5 ← in standard form → C