Answer:
- gradient is 4.
- y-intercept is -5.
- 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 :
[tex]2y - 8x = - 2[/tex]
[tex]2y = 8x - 2[/tex]
[tex]y = \frac{8}{2} x - \frac{2}{2}[/tex]
[tex]y = 4x - 1[/tex]
So m represents gradient. In this question, m is 4.
2. Make it into slope-form equation :
[tex]3y = - 15x - 15[/tex]
[tex]y = - \frac{15}{3} - \frac{15}{3} [/tex]
[tex]y = - 5x - 5[/tex]
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 :
[tex]y = 2x + 10[/tex]
[tex]let \: x = 3[/tex]
[tex]y = 2(3) + 10[/tex]
[tex]y = 6 + 10[/tex]
[tex]y = 16 \: (incorrect)[/tex]
