begin array c c x amp 0 amp 2 amp 4 amp 6 hline... - WAEC Mathematics 2010 Question
\(\begin{array}{c|c} x & 0 & 2 & 4 & 6\ \hline y & 1 & 2 & 3 & 4\end{array}\).
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 option: d
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
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
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