What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)?

Question

anonymous · Answer

@KeithAfasCalcLover can you help?

anonymous · Answer

I might :)

So you know $y=mx+b$. Here you see that you have two points $P_1(4,0)$ And $P_2(2,6)$. Have you been introduced to the formula for slope?

anonymous · Answer

A.y = 4x – 2

B. y = 2x – 4

C. y = –3(x – 4)

D. y = 3(x + 4)

anonymous · Answer

yes I have @KeithAfasCalcLover

anonymous · Answer

Yeah so you know that the slope, $m$ is
$$m=\frac{y_2-y_1}{x_2-x_1}$$
And so we know that the slop here is:
$$m=\frac{6-0}{2-4}=\frac{6}{-2}=-3$$
So we know we have the equation
$$y=-3x+b$$ we just need to know our $b$ which we can find out by substituting a point:

anonymous · Answer

So we can sub in the first or second, your pick ;)

anonymous · Answer

okay now what?

anonymous · Answer

Well its up to you, want to sub in the first or second point? doesn't matter really!

anonymous · Answer

1st one!