Question

2. (03.06 MC)Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4. (1 point)y = 4x − 11y = 4x + 11y = 4x + 7y = 4x – 7

Answer 1

Option B is correct.

y = 4x + 11

Step-by-step explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

For this question,

Slope = m = 4

The point, (x₁, y₁) = (-3, -1)

x₁ = -3

y₁ = -1

y - y₁ = m (x - x₁)

y - (-1) = 4 (x - (-3))

y + 1 = 4 (x + 3)

y + 1 = 4x + 12

y = 4x + 12 - 1

y = 4x + 11

Hope this Helps!!!