Question

A line passes through the point (4, -6) and has a slope of -4. Which is the equation of the line?

a)y=-x-3
b)y--gx-6
c)y=-3x-2
d)y--bx-3

Answer 1

The equation of the line passing through the point (4, -6) with a slope of -4 is y = -4x + 10.

Step-by-step explanation:

To find the equation of the line passing through the point (4, -6) with a slope of -4, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). Here, x1 = 4, y1 = -6, and m = -4.

Substituting these values into the equation, we get y - (-6) = -4(x - 4). Simplifying further, we have y + 6 = -4x + 16.

Finally, rearranging the equation, we get the equation of the line: y = -4x + 10.