Question

Please show youre work and i will give brainliest :)

Answer 1

Answer:

$y = \frac{1}{6}x - 4$

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

$y = \frac{1}{8}x$

$y = \frac{1}{6}x+ \frac{2}{3}$

$y = 12x - 9$

Step-by-step explanation:

Required

Represent in gradient intercept form

This means that the equation be in form: $y = mx + c$

Solving (a): $3y = \frac{1}{2}x - 12$

Divide through by 3

$\frac{3y}{3} = \frac{1}{3*2}x - \frac{12}{3}$

$y = \frac{1}{6}x - 4$

Solving (b): $5x = 10y - 20$

Make y the subject

$10y = 5x + 20$

Divide through by 10

$y = \frac{5x}{10} + \frac{20}{10}$

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

Solving (c): $x = 8y$

Make y the subject

$8y= x$

Divide through by 8

$y = \frac{1}{8}x$

Solving (d): $\frac{1}{2}x = 3y - 2$

Make y the subject

$3y = \frac{1}{2}x+ 2$

Divide through by 3

$y = \frac{1}{2*3}x+ \frac{2}{3}$

$y = \frac{1}{6}x+ \frac{2}{3}$

Solving (d): $\frac{2}{3}y - 8x = -6$

Make y the subject

$\frac{2}{3}y = 8x -6$

Divide through by 3/2

$\frac{3}{2} * \frac{2}{3}y =\frac{3}{2} * ( 8x -6)$

$y =\frac{3}{2} * ( 8x -6)$

$y =\frac{3}{2} * 8x -\frac{3}{2} * 6$

$y = 3 * 4x - 3 * 3$

$y = 12x - 9$