Compare the following functions.

Equation A: 6x + 2y = 14
Equation B: 12x - 4y = - 8

Which statement about the functions is true?

O The y-intercepts of both functions are the same
O The slopes of both functions are the same
O The slopes and the y-intercepts of both funcations are the same
O The slopes and the y-intercepts of both functions are different

1 answer

The statement "The slopes and the y-intercepts of both functions are different" is true.

For equation A, the slope is -3 (when solving for y in terms of x) and the y-intercept is 7 (when x = 0).

For equation B, the slope is 3 (when solving for y in terms of x) and the y-intercept is -2 (when x = 0).
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