Question

Which of the following is a correct equation for the line passing through the

Answer 1

Answer:

C

Step-by-step explanation:

m = -3

y = mx +b

y = -3x + b

Plugin x = -1 and y = 4

4 = -3*(-1) +b

4 = 3 + b

4-3 = b

b = 1

y = -3x + 1

Answer 2

Answer:

B, C, D

Step-by-step explanation:

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b ) = (- 1, 4 ) , then

y - 4 = - 3(x - (- 1) ) , that is

y - 4 = - 3(x + 1) → D

Distribute parenthesis

y - 4 = - 3x - 3 ( add 4 to both sides )

y = - 3x + 1 → C

Add 3x to both sides

3x + y = 1 → B