Question

Point-slope form: 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−4=−2(x+6) b) y-6 = -2x(x+4) c) y= -2x -6 d)y + 6 = -2(x-4)

Answer 1

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

Step-by-step explanation:

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

To find the point-slope form, we use the formula:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope. Plugging in the given values, we have:

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