Question

Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6

Answer 1

A) y + 3 = -6(x + 2)
B) y + 2 = 6(x + 3)
C) y - 3 = -6(x - 2)
D) y - 2 = 6(x - 3)

Answer 2

if you had an equation in the form
y = m*x + b
m (the number multiplying x) is the slope
so if you change the first equation by multiplying the -6 times each term in the parens
y + 3 = -6(x + 2)
y+3 = -6x-12
and add -3 to both sides
y+3-3= -6x-12-3 which simplifies to
y= -6x-15

so option A 's equation has a slope of -6. It is a possible answer
to see if (-2,-3) works, replace x with -2, and see if you get y= -3
can you do that?

Answer 3

no just give me the answer