Question

What is the equation of a line that has a slope of -2 and goes through (-1, -1)

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

Answer 1

y + 11 = - 2(x + 1)

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 2 and (a, b) = (- 1, - 1), thus

y - (- 1) = - 2(x - (- 1)), that is

y + 1 = - 2(x + 1)