Question

Select the equation that contains the points, (-2, -2) and (4, 10).

y-6=2(x-2)
y-6= -2(x-2)
y+6 = -2(x+1)
y+2=6(x+6)

Answer 1

first we find the slope by using the slope formula.
slope(m) = (y2 - y1) / (x2 - x1)
(-2,-2)...x1 = -2 and y1 = -2
(4,10)....x2 = 4 and y2 = 10
now we sub
slope(m) = (10 - (-2) / (4 - (-2) -- pay close attention to your signs
slope(m) = (10 + 2) / (4 + 2)
slope(m) = 12/6 which equals 2

Now we use point slope formula
y - y1 = m(x - x1)
slope(m) = 2
you can use either of your points...
(-2,-2)...x = -2 and y = -2
now we sub
y - (-2) = 2(x - (-2)
y + 2 = 2(x + 2) <==== here is one possible answer

using the other point (4,10)...x1 = 4 and y1 = 10
y - 10 = 2(x - 4) < ==== here is another possible answer choice

hmmm...are you sure you have the right points ? Well....the only one that has a slope of 2 is A....it cannot be the others...unless your points are wrong.

Answer 2

so a would be my answer?