Question

Make the following statement an equations (3,-3) m=3

Answer 1

We conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

• 
  `y=3x-12`

The graph of the line is also attached.

Explanation:

Given

• The point (3,-3)

• The slope m = 3

Using the point-slope form of the line equation

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

where

• m is the slope of the line

• (x₁, y₁) is the point

substituting the values m = 3 and the point (x₁, y₁) = (3,-3)

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

`y-\left(-3\right)=3\left(x-3\right)`

Apply rule: -(-a) = a

`y+3=3\left(x-3\right)`

subtract 3 from both sides

`y+3-3=3\left(x-3\right)-3`

simplify

`y=3x-12`

Therefore, we conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

• 
  `y=3x-12`

The graph of the line is also attached.