Answer:
y=mx+b is the form in which these equations are. B represents the y intercept and M is the slope
currently to find slope we need to get y alone on the left side of the equation for all the answers:
A.y-4=3(x-2) -----> y-4=3x-6 (i also distributed) ----> y=3x-2
B. y+4=-3(x+2)----> y+4=-3x-6 -------> y=-3x-10
C. y-2=-3(x-4) --------> y-2=-3x+12 ------> y=-3x+14
D. y-4= -3( x-2) --------> y-4= -3x+6 ---------> y=-3x+10
All of these equations except A have a slope of -3 so A is already out and to find which one is valid we need to plug in the point (2, 4) for each of the equations
B. 4=-3(2)-10 ------> 4=-6-10----> 4=-16- not valid
C. 4 =-3(2)+14 -----> 4=-6+14------>4=8 not valid
D. 4=-3(2)+10 ----->4=-6+10 ------> 4=4 - Valid
Only D is correct
Explanation: