Question

the line through (0,-2) and (4,6) in point-slope form.
please show the work , thanks(: the line through (0,-2) and (4,6) in point-slope form.
please show the work , thanks(: @Mathematics

Answer 1

\[slope = \frac{y2-y1}{x2-x1} = \frac{6-(-2)}{4-0} = \frac{8}{4} = 2\]
line equation:
y=2x+b

plug in one of the points you have (0,-2) or (4,6) to find b:
-2 = 2(0) + b
b = -2

Therefore,
y = 2x - 2

is that right ?

Answer 2

m=(y2-y1)/(x2-x1)



m=(6-(-2))/(4-0)



m=(8)/(4-0)



m=(8)/(4)



m=2


---------------------------------------------


y-y1=m(x-x1)



y-(-2)=2(x-0)



y+2=2(x-0)

Answer 3

is y+2=2x the same thing?

Answer 4

yes, but I figured I'd leave it in y - y1 = m(x-x1) form

Answer 5

alright thanks (: