Write an equation of the line in point-slope form passing through (1, -5) with a slope of -2.

Answer 1

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

In this case, the point (1, -5) is given and the slope m = -2. Plugging these values into the point-slope form, we get:

y - (-5) = -2(x - 1)

Simplifying,

y + 5 = -2x + 2

Subtracting 5 from both sides,

y = -2x - 3

So, the equation of the line in point-slope form passing through (1, -5) with a slope of -2 is y = -2x - 3.