Let's find the slope from the given line. after converting 4x-2y = 12 into slope-intercept form we get y = 2x-6. Thus the slope or m = 2.
We can then use either slope-intercept form or point-slope form to figure out the answer.
using the slope-intercept formula.
y = mx + b , plug in m = 2 and your point (2,5)
You get: y = 2x+1 -> answer
using the point-slope formula.
y-y1 = m(x-x1) , plug in m = 2 and your point (2,5)
You get: y = 2x+1
I hope this helps! S.C.