What’s the gradient and y intercept for c and e and could u explain pls thx
![Whats the gradient and y intercept for c and e and could u explain pls thx class=](https://us-static.z-dn.net/files/d89/83e80ea3cd8c091aaa6a2e0a34350cee.png)
Step-by-step explanation:
if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept
in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2
in e:6y=2x+3
y=x/3+1/2,gradient = 1/3, y-intercept=1/2
The gradient or Slope in a linear equation is simply the value "a" in this equation : y = ax + b
And the y-intercept is simply the value b.
so for example, what is the slope of y = 5x + 3 ? What is the y-intercept ? Well the gradient (or slope) is 5, and the y-intercept is 3.
So, for a.
y = -1/2x + 8
it's pretty simple : gradient = -1/2
y intercept = 8
Now for c.
[tex]y=\frac{2x-6}{3}[/tex]
[tex]y=\frac{2}{3}x-\frac{6}{3}[/tex]
[tex]y=\frac{2}{3}x-2[/tex]
So the gradient is 2/3 and the y intercept is -2 (and not +2, be careful there is a negative sign :) )
e.
-2x + 6y - 3 = 0
6y = 2x + 3
y = (2/6)*x + (3/6)
y = (1/3)*x + (1/2)
so the gradient is 1/3
and the y-intercept is 1/2
Good luck, your the best :)