Question

Find the gradient of the line 2y -8x = -2

Answer 1

Answer:

1. gradient is 4.
2. y-intercept is -5.
3. No.

Step-by-step explanation:

1. In order to find the gradient of equation, you have to make it into slope-form equation y = mx + b :

$2y - 8x = - 2$

$2y = 8x - 2$

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

$y = 4x - 1$

So m represents gradient. In this question, m is 4.

2. Make it into slope-form equation :

$3y = - 15x - 15$

$y = - \frac{15}{3} - \frac{15}{3}$

$y = - 5x - 5$

In this question, y-intercept is b which is -5.

3. You have to substitute x-coodinate into the equation to see whether it is equal to y-coordinate :

$y = 2x + 10$

$let \: x = 3$

$y = 2(3) + 10$

$y = 6 + 10$

$y = 16 \: (incorrect)$