1for each of the following two linear equations identify the slope and the 3y+ x= 12

For identifying the slope of a line, is easier if we get the equation to its slope-intercept form, that is:
y = mx + b
where m is the slope, and b is the y axis intercept. So we'll change the original equations and get them to this form:

3y+ x= 12
3y = -x + 12
y = (-1/3) + 4
therefore the slope is -1/3 and the y-axis intercept is 4

-9x + 4y = 16
4y = 9x + 16
y = (9/4)x + 4
therefore the slope is 9/4 and the y-axis intercept is 4

Y=(9/4)×+4

Hopes that helps