Question

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

Answer 1

Answer:

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

$(12)$   $4x + y= -25$

$(13)$   $3x + 8y = -15$

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

$(15)\ y = - 9$

Step-by-step explanation:

Required

The line equation

$(11)\ (-5,2); m =\frac{2}{5}$

The equation is calculated using:

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

This gives:

$y = \frac{2}{5}(x - (-5)) + 2$

$y = \frac{2}{5}(x +5) + 2$

Open bracket

$y = \frac{2}{5}x +2 + 2$

$y = \frac{2}{5}x +4$

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:

$4x + y= -25$

$(13)\ (3,-3)\ m =-\frac{3}{8}$

The equation is calculated using:

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

This gives:

$y = -\frac{3}{8}(x - 3) -3$

$y = -\frac{3}{8}x + \frac{9}{8} -3$

Multiply through by 8

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

$8y = -3x -15$

Rewrite as:

$3x + 8y = -15$

$(14)\ (0, \frac{1}{2}); m = \frac{9}{4}$

The equation is calculated using:

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

This gives:

$y = \frac{9}{4}(x - 0) + \frac{1}{2}$

$y = \frac{9}{4}x + \frac{1}{2}$

Multiply through by 4

$4y = 9x + 2$

Rewrite as:

$-9x + 4y = 2$

$(15)\ (\frac{16}{3}, -9); m =0$

The equation is calculated using:

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

This gives:

$y = 0(x - \frac{16}{3}) - 9$

$y = 0 - 9$

$y = - 9$