Question

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3. (1 point)

y = −3x + 3
3x + y = 3
y − 6 = −3x − 3
y − 6 = −3(x + 1)

Answer 1

y - 6 = - 3(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 = - 3 and (a, b) = (- 1, 6), hence

y - 6 = - 3(x - (- 1)), that is

y - 6 = - 3(x + 1)

Answer 2

Choice D is the answer.

Explanation:

We have given a point and the value of slope.

Slope = -3 and (x₁,y₁) = (-1,6)

We have to find the point-slope form of the line that passes through the given point and slope of the line equal to -3.

y-y₁ = m(x-x₁) where m is slope and the line passes through the point (x₁,y₁).

Putting given values in above equation, we have

y-(6) = -3(x-(-1))

y-6 = -3(x+1) which is the answer.