Question

Math Slope Help?

Answer 1

(1)

Given point ( x_{1 ,} y₁ ) = ( 1 , 9 )

Given slope m = 2

Formula for Slope point form : ( y - y₁ ) = m ( x - x₁ )

Substitute x₁ = 1 , y₁ =  9 and m = 2

( y - 9 ) = 2 ( x - 1 )

y - 9 = 2x - 2

2x - 2 - y + 9 = 0

2x - y + 7 = 0

Answer 2

(3)

Given point ( x_{1 ,} y₁ ) = ( -4 , -5 )

Given slope

Formula for Slope point form : ( y - y₁ ) = m ( x - x₁ )

Substitute x₁ = -4 , y₁ =  -5 and

( y - (-5) ) = ( x - (-4) )

4 ( y + 5 ) = 3 ( x + 4 )

4y + 20 = 3x + 12

3x +12 - 4y -20 = 0

3x - 4y -8 = 0

Solution :

3x - 4y -8 = 0

Answer 3

(5)

Given points

( x_{1 ,} y₁ ) = ( 4 , -4 )

( x_{2 ,} y₂ ) = ( 8 , -10 )

Slope

Substitute x₁ = 4 , y₁ =  -4 , x₂ = 8 , y₂ = -10

Formula for Slope point form : ( y - y₁ ) = m ( x - x₁ )

Substitute x₁ = 4 , y₁ =  -4 and 

( y - (-4) ) = ( x - 4 )

2 ( y + 4 ) = ( - 3 )( x - 4 )

2y + 8 = -3x + 12

3x - 12 + 2y + 8 = 0

3x + 2y - 4 = 0

Solution :

3x + 2y - 4 = 0