To determine which equations are in y = mx + b form, we need to check if each equation can be expressed in that format, where m is the slope and b is the y-intercept.
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y = 5x - 4: This is already in y = mx + b form (m = 5, b = -4).
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y = -2x + 3: This is also in y = mx + b form (m = -2, b = 3).
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y = 3x + 1: This is in y = mx + b form (m = 3, b = 1).
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2y = 6x + 2: To convert to y = mx + b, divide by 2:
y = 3x + 1, which is in y = mx + b form. -
y - 5x = 2: Rearranging gives y = 5x + 2, which is in y = mx + b form.
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y - 4x + 1 = 0: Rearranging gives y = 4x - 1, which is in y = mx + b form.
Summary: All of the given equations can be expressed in y = mx + b form. Thus, the answer is that all options (1, 2, 3, 4, 5, and 6) are in y = mx + b form.