Find the gradient of the line whose equation is 2y+3x-8=0?

To find the gradient of the line, we need to rearrange the equation into the slope-intercept form, which is y = mx + c, where m is the gradient.

2y + 3x - 8 = 0
2y = -3x + 8
y = (-3/2)x + 4

Now we can see that the gradient of the line is -3/2.

The equation of the line is 2y = 3x - 8
=> y = (3/2)x - 4
Comparing the equation with the slope-intercept form y = mx + c, we get
m = 3/2
Therefore, the gradient of the line is 3/2.