A given line has the equation 10x+2y=−2 .What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

Rewrite the given equation in slope-intercept form: 10x + 2y = −2 gives y = −5x − 1, so its slope is −5. A parallel line has the same slope. Since it passes through (0, 12), its y-intercept is 12, giving y = −5x + 12, which is choice A.

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