(begin{array}{c|c} x & 0 & 2 & 4 & 6\ hline y & 1 & 2 & 3 & 4end{array}).
The table is for the relation y = mx + c where m and c are constants. What is the equation of the line described in the tablet?
The table is for the relation y = mx + c where m and c are constants. What is the equation of the line described in the tablet?
-
A.
y = 2x -
B.
y = x + 1 -
C.
y = x -
D.
y = (frac{1}{2}x + 1)
Correct Answer: Option D
Explanation
y = mx + c; when x = 0; y = 1
1 = m(0) + c; 1 = 0 + c; c = 1
when x = 2; y = 2
2 = m(2) + c; 2 = 2m + c; but c = 1
2 = 2m + 1
2 – 1 = 2m
2m = 1
m = (frac{1}{2})
y = (frac{1}{2})x + 1