A given line has the equation 10 x plus 2 y is equal to negative 2 What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point open paren 0 comma 12 close paren ?

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, and passing through (0, 12) means its y-intercept is 12. Thus the slope-intercept equation is y = -5x + 12, choice B. Choice A is an equivalent equation, but it is not written in slope-intercept form.

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