Question

Please help it's due very soon if I fail I'll cry and my parents will yell at me​

Answer 1

`(11)\ -2x + 5y = 20`

`(12)`
`4x + y= -25`

`(13)`
`3x + 8y = -15`

`(14)\ -9x + 4y = 2`

`(15)\ y = - 9`

Explanation:

Required

The line equation

`(11)\ (-5,2); m =(2)/(5)`

The equation is calculated using:

`y = m(x - x_1) + y_1`

This gives:

`y = (2)/(5)(x - (-5)) + 2`

`y = (2)/(5)(x +5) + 2`

Open bracket

`y = (2)/(5)x +2 + 2`

`y = (2)/(5)x +4`

Multiply through by 5

`5y = 2x + 20`

Rewrite as:

`-2x + 5y = 20`

`(12)\ (-6, -1);\ m = -4`

The equation is calculated using:

`y = m(x - x_1) + y_1`

This gives:

`y = -4(x - -6) - 1`

`y = -4(x +6) - 1`

Open bracket

`y = -4x -24 - 1`

`y = -4x -25`

Rewrite as:

`4x + y= -25`

`(13)\ (3,-3)\ m =-(3)/(8)`

The equation is calculated using:

`y = m(x - x_1) + y_1`

This gives:

`y = -(3)/(8)(x - 3) -3`

`y = -(3)/(8)x + (9)/(8) -3`

Multiply through by 8

`8y = -3x + 9 - 24`

`8y = -3x -15`

Rewrite as:

`3x + 8y = -15`

`(14)\ (0, (1)/(2)); m = (9)/(4)`

The equation is calculated using:

`y = m(x - x_1) + y_1`

This gives:

`y = (9)/(4)(x - 0) + (1)/(2)`

`y = (9)/(4)x + (1)/(2)`

Multiply through by 4

`4y = 9x + 2`

Rewrite as:

`-9x + 4y = 2`

`(15)\ ((16)/(3), -9); m =0`

The equation is calculated using:

`y = m(x - x_1) + y_1`

This gives:

`y = 0(x - (16)/(3)) - 9`

`y = 0 - 9`

`y = - 9`