Question

What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4, -6)?

a) y = -2x - 6
b) y - 6 = -2(x + 4)
c) y + 4 = -2(x - 6)
d) y + 6 = -2(x - 4)

Answer 1

d) y + 6 = -2(x - 4)

Step-by-step explanation:

y-y = m(x-x)

y - - 6 = -2 (x - 4)

y + 6 = -2(x + 4)

y = -2x + 2

Answer 2

The point-slope form of the equation for a line with a slope of -2 that passes through the point (4, -6) is y + 6 = -2(x - 4).

Step-by-step explanation:

The point-slope form of an equation for a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, the given slope is -2 and the point is (4, -6). Plugging these values into the point-slope form, we get:

y - (-6) = -2(x - 4)

Simplifying the equation, we have:

y + 6 = -2x + 8

Subtracting 6 from both sides, we get:

y = -2x + 2

Therefore, the correct answer is Option d) y + 6 = -2(x - 4).