Question

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

y + 3 = −6(x + 2)
y + 2 = 6(x + 3)
y − 3 = −6(x − 2)
y − 2 = 6(x − 3)

Answer 1

@pooja195 @TheSmartOne

Answer 2

The general form of any linear equation is:

\[y - y _{1} = m(x - x _{1})\]

where m is our slope and (x1, y1) is some point which we know is on the line.

In the question, we're given the slope and a point, so all you need to do is plug these into the above equation and you'll get the answer out!

Hope that helps! :)

Answer 3

So it is C?

Answer 4

Nope, but you're close! Just remember the negative signs in front of x1 and y1 in the general form of the equation....if we plug in -2 and -3, what will happen?

Answer 5

It will be addition.

Answer 6

So, A?

Answer 7

Yes, A is correct! Just to explain.....

We can treat the negative signs in front of x1 and y1 as being a '-1'.

So, we are multiplying our x1, which is -2, by -1 and we are also multiplying our y1, which is -3, by -1.

\[y + (-1)(-2) = 6(x + (-1)(-3))\]

MINUS TIMES MINUS IS PLUS, so our negative sign disappears and we get:

\[y + 2 = 6(x + 3)\]