Which equation represents a line that passes through two points in the table
Accepted Solution
A:
c.Β y - 3 = 2/3(x-3)
Nothing much to do here except examine each equation and plug in the numbers to see if it's true.
a. y + 3 = 3/2(x+3) Try 3,3 3 + 3 = 3/2(3+3) 6 = 3/2(6). And no need to go further, it's obviously not equal.
b. y - 3 = 3/2(x-3) Try 3,3 3 - 3 = 3/2(3-3) 0 = 3/2(0). OK. Let's try 6,5 5 - 3 = 3/2(6-3) 2 = 3/2(3) 2 = 9/2 And it's not true, so check the next one.
c. y - 3 = 2/3(x-3) Try 3,3 3 - 3 = 2/3(3-3) 0 = 0. Check 6,5 5 - 3 = 2/3(6-3) 2 = 2/3(3) 2 = 2. Good. Both sample points work. This is the correct answer. Just to be sure, let's check the next option
d. y + 3 = 2/3(x+3) Try 3,3 3 + 3 = 2/3(3+3) 6 = 2/3(6). And doesn't match.