Question

Write the point-slope form of the equation of the line using the point (-4,-2)

Answer 1

sheesh

Explanation:

Answer 2

Note: Maybe you either forgot to mention the slope or forgot to mention another point from which the equation of the line passes.

In the later part, I would assume the slope m = 2 as an example.

Answer:

Please check the explanation.

Explanation:

Given

• The point (-4, -2)

The point-slope form:

The point-slope form of the line equation is defined as

`y-y_1=m\left(x-x_1\right)`

where

• m is the slope of the line

• (x₁, y₁) is the point

In our case:

(x₁, y₁) = (-4, -2)

substituting the point (-4, -2) in the point-slope form of the equation of the line

`y-y_1=m\left(x-x_1\right)`

`y-\left(-2\right)=m\left(x-\left(-4\right)\right)`

Therefore, the point-slope form of the equation of the line using the point (-4,-2) will be:

• 
  `y-\left(-2\right)=m\left(x-\left(-4\right)\right)`

BONUS!

Example Solving with assuming the slope m = 2

Let suppose the slope m = 2

As we have already got the equation in the point-slope form

`y-\left(-2\right)=m\left(x-\left(-4\right)\right)`

substituting m = 2

`y-\left(-2\right)=2\left(x-\left(-4\right)\right)`

`y+2=2\left(x+4\right)`

Subtract 2 from both sides

`y+2-2=2\left(x+4\right)-2`

`y=2x+6`

Thus, the point-slope form of the equation of the line using the point (-4,-2) and having slope m = 2.