1. 1/10
2. 3/5
3. 1/10
4. 1/6
5. 3/14
The slope-intercept form of the equation for a line is ...
y = (Slope)x + (y-intercept)
Put the given information in the appropriate spot in the equation. Simplify as required.
y = (-1/3)x + 0
can be simplified to
y = (-1/3)x

Recall that

Take it one piece at a time. For

, we can scale

by -5:

If we shift the argument by 1 and scale by -5, we have

so if we subtract this from

, we'll end up with

For the next piece, we can add another scaled and shifted step like

so that

For the last piece, we add one more term:

and so putting everything together, we get

:

44

-3x + 2 > 14.
-2 -2 -2
42

-3x > 12
-------------------------------------
-3 -3 -3 (dividing with inequalities by a negative flips the inequality symbol)
-14

x < -4