Question

Identify the correct slope and y-intercept of the equation 5x - 3y = -6.

Answer 1

put it in the form

y = mx + b first

Answer 2

Get in the form y=mx+c where m is the slope and c is the y-intercept:
3y=5x+6.
Divide by 3:
y=(5/3)x+2
So the slope is 5/3 and the y intercept is (0,2)

Answer 3

Parallel lines have the same gradient, so change your equation to the form y=mx+c first
y= -1/2 x + 1, therefore the slope is -1/2

13) 3.
14) 4.
15) 1.
16) 2.

The rest of your questions uses up too much of my brain power I'm afraid xD

Answer 4

Alternatively:

Set x = 0 to get:

5(0) - 3y = -6
0 - 3y = -6
-3y = -6
6 = 3y
6/3 = y
2 = y