Inequality:
(3/10) ≥ k - (3/5)
Add 3/5 to both sides:
k ≤ (3/10) + (3/5)
Use LCD:
k ≤ (3/10) + (6/10)
Combine:
k ≤ 9/10
You move 2x to the other side of the =, divide both side by 3 and make sure it’s in slope intercept form
2x+3y=12
-2x. -2x
——————-
3y= 12 -2x
—. — —-
3. 3. 3
y=4 - 2/3x
y= -2/3x + 4
A' = (- 3, 0 )
(x, y ) → (x - 5, y + 2 ) means subtract 5 from the original x-coordinate and add 2 to the original y- coordinate
A(2, - 2 ) → A'(2 - 5, - 2 + 2 ) → A'(- 3, 0 )