Question

Question 4 of 5

Which equation represents the line through (0, 0) and (3, 4)?
A. y = 3x
O B. y = x
O c. y =
x
OD. y = 4x

Answer 1

The equation that represents the line through the points (0, 0) and (3, 4) is y = (4/3)x.

Step-by-step explanation:

The equation that represents the line through the points (0, 0) and (3, 4) is y = (4/3)x. To determine this equation, we need to find the slope of the line, which is given by the formula m = (y2 - y1) / (x2 - x1). Substituting the given coordinates, we have m = (4 - 0) / (3 - 0) = 4/3. Using the point-slope form of a linear equation y - y1 = m(x - x1), we can substitute the slope and one of the points to get the equation y - 0 = (4/3)(x - 0), which simplifies to y = (4/3)x.

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