Question

Which graph represents (x,y)-pairs that make the equation y=0.5+5 true?

Choice B: (1,0), (3,4), (6,10)
Choice C: (2,6), (4,7), (6,8)​

Answer 1

Choice C

Explanation:

Notice that the equation y = 0.5 x + 5

is a linear equation so the points that are solutions of it must reside on a line. Option A does not show aligned points, so it cannot be a possible answer.

Option B: we look into the given points and notice that just the first one (1, 0) is NOT a solution to the equation because:

y = 0.5 (1) + 5 = 5.5 and not "0"

Option C: This is the correct answer, since all those points satisfy the equation

Point (2, 6) --> y = 0.5 (2) + 5 = 1 + 5 = 6

Point (4, 7) --> y = 0.5 (4) + 5 = 2 + 5 = 7

Point (6, 8) --> y = 0.5 (6) + 5 = 3 + 5 = 8