Question

What is the point-slope equation of a line with a slope of -4 that contains the point (−2,7)?

A. y+7=−4(x+2)

B. y+7=−4(x−2)

C. y−7=−4(x+2)

D. y−7=−4(x−2)

Answer 1

A. y+7=−4(x+2). The point-slope equation of a line with a slope of -4 that contains the point (-2,7) is y + 7 = -4(x + 2).

Step-by-step explanation:

The point-slope equation of a line is given by the formula y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. For a line with a slope of -4 and passing through the point (-2,7), the equation can be written as:

y - 7 = -4(x - (-2))

Simplifying this equation, we get y - 7 = -4(x + 2), which is option A.