Which of the following equations represent a line that has a slope of –5 and that passes through (2, –6)? Check all of the boxes that apply.y + 6 = –5(x – 2)y – 2 = –5(x + 6)y = –5x + 4y = –5x – 28

A line with slope −5 through (2, −6) can be written in point-slope form as y − (−6) = −5(x − 2), which is y + 6 = −5(x − 2), choice A. In slope-intercept form, substituting the point gives −6 = −5(2) + b, so b = 4; therefore y = −5x + 4, choice C. The other equations do not pass through (2, −6).

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