Final answer:
The slope of the line is -4/3 and the y-intercept is 16/3.
Step-by-step explanation:
To find the slope and y-intercept of the line represented by the equation 3y+4x=16, we need to rewrite the equation in slope-intercept form, which is y=mx+b. Here, m represents the slope and b represents the y-intercept.
Start by isolating y on one side of the equation:
3y = -4x + 16
Divide both sides of the equation by 3:
y = (-4/3)x + 16/3
So, the slope of the line is -4/3 and the y-intercept is 16/3.
We now see that the slope (m) is -4/3 and the y-intercept (b) is 16/3, which is approximately 5.33, not an integer as presented in the options. Therefore, the correct slope is -4/3, and the y-intercept is 16/3.
It is important to note that the options provided do not include the correct y-intercept value found in the calculation, which is 16/3, not an integer value.