Respuesta :

So equation for gradient is y=mx+c where x is the gradient and c is the y intercept

1/3 is the gradient so you would plug that in.

Y = 1/3x + c

Then you take the (6,0) and substitute that in for x and y.

0 = 1/3(6) + c
0 = 2 + c
-2 = c

So, I think, y = -2 as c is the y intercept
Given the slope (m = 1/3), and the x-intercept, (0, 6):

We can solve for the y-intercept by plugging in the values of the slope, and the coordinates of (6,0) into the slope-intercept form: y = mx + b:

y = mx + b
0 = (1/3)(6) + b
0 = 2 + b
Subtract 2 from both sides to solve for b:

0 -2 = 2 + b - 2

-2 = b

Therefore, the y-intercept is (0, -2).