Answer:
Linear equation: y = x +67
Step-by-step explanation:
Linear functions are of the form y = mx + b.
Step 1: First find "m".
Look at the table and notice that every time the x terms go up by 1, the y terms go up by 1. This means that m is equal to 1.
Step 2: Now find "b"
Take the equation y = mx + b and plug in the m value (m = 1) and a pair of (x, y) coordinates from the table, such as (3, 70). Then solve for b.
y = mx+b
70 = 1(3) + b
70 = 3 + b
b = 67
Step 3: Finally, use the m and b values you found; m = 1, b = 67, to write the equation:
y = mx + b
y = 1x + 67
y = x+67
Step 4: Now check your answer. Plug in each (x, y) pair in the table, and see if the result is a true statement.
Plug in (3, 70)
70 = 3 +67
70 = 70
This holds true.
Plug in 4 and 71
y = mx + b
71 = 1(4) + 67
71 = 71
This also holds true.
Plug in 5 and 72
y = mx + b
72 = 1(5) + 67
72 = 72
This also holds true.
Plug in 6 and 73
y = mx + b
73 = 1 (6) + 67
73 = 73
This also holds true.
Each (x, y) pair from the table resulted in a true statement.
So, the linear equation is y = x + 67 (answer)
