If f of x is parallel to the line y is equal to 3 fourths x plus 2 fifths , which function could be f of x ?
Answer
A
f of x is equal to 9 x plus 2 fifths
B
f of x is equal to negative 4 thirds x plus 9
C
f of x is equal to 3 fourths x plus 9
D
f of x is equal to 9 x minus 5 halves
Explanation
Parallel lines have the same slope. The line y = (3/4)x + 2/5 has slope 3/4, so f(x) must also have slope 3/4. Choice C, f(x) = (3/4)x + 9, has that slope.
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