What is the gradient of the striaght line 2y+3x= -8 ?

Please explain in depth kind of.
Thanks,

gradient is also known as slope ... the change in y, divided by the change in x

the general slope-intercept equation is ... y = m x + b
... m is the slope , and b is the y-intercept (where the line crosses the y-axis)

solving the given equation for y ... 2y = - 3x - 8 ... y = -3/2 x - 4

the slope (gradient) is -3/2 , the line crosses the y-axis at -4