To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 7)(y + 7)
(y x y) + (y x 7) + (7 x y) + (7 x 7)
y² + 7y + 7y + 49
y² + 14y + 49

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 0. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, 1) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x + 0

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-9c + 7 < -4 + 2c
-9c < -4 + 2c - 7
-9c - 2c < -4 - 7
-11c < -11
c < \( \frac{-11}{-11} \)
c < 1

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-7a - 6 < \( \frac{a}{-7} \)
-7 x (-7a - 6) < a
(-7 x -7a) + (-7 x -6) < a
49a + 42 < a
49a + 42 - a < 0
49a - a < -42
48a < -42
a < \( \frac{-42}{48} \)
a < -\(\frac{7}{8}\)

You need to find the value of a so solve the first equation in terms of y:

-9a + y = 2
y = 2 + 9a

then substitute the result (2 - -9a) into the second equation:

-5a + 1(2 + 9a) = -5
-5a + (1 x 2) + (1 x 9a) = -5
-5a + 2 + 9a = -5
-5a + 9a = -5 - 2
4a = -7
a = \( \frac{-7}{4} \)
a = -1\(\frac{3}{4}\)