Question

onsider the ordered pairs (34, 12), (114, 1), (x, y) which represent a linear function. Find the values of x and y.
x = 134, y = 32
x = 214, y = 12
x = 134, y = -32
x = 214, y = -12

Answer 1

Slope from (34,12) to (114,1) is m = (1−12)/(114−34) = −11/80. The line through (34,12) is
y − 12 = (−11/80)(x − 34).

For x = 134: y = 12 + (−11/80)(100) = 12 − 13.75 = −1.75 (not 32 or −32).
For x = 214: y = 12 + (−11/80)(180) = 12 − 24.75 = −12.75 (not 12 or −12).

So none of the four given choices produces a point on that line. (If you must pick the closest by value, (214, −12) is nearest, but it is not exact.)