Let's take a look at each one individually to see whether y = 9 is a possible value for the inequality. First, we'll check out y + 8 < 0.5. If we replace y with 9, we get 9 + 8 < 0.5. 9 plus 8 is 17, so now we have 17 < 0.5. That's not true, because 17 is not smaller than 0.5. So we know that this option is incorrect.

Next, let's look at -y + 8 > 0.5. We replace y with 9 and get -9 + 8 > 0.5, or -1 > 0.5. This isn't true either! -1 is <em>smaller</em> than 0.5, not greater. So this isn't the option either.

We'll now look at y + 8 > 0.5. If we replace y with 9, we get 9 + 8 > 0.5 or 17 > 0.5. This is true, so we can be confident that this is the correct answer! Let's just test the last answer for good measure though.

Is -9 + 8 greater than -0.5? Well, -9 plus 8 is equal to -1, and -1 is <em>not</em> greater than -0.5. So we were correct. y + 8 > 0.5 is true when the value of y is 9.

8 0

2 years ago

Two points located on are J(1,-4) and K(-2,8). What is the slope of ?

vodka [1.7K]

Answer:

-4

Step-by-step explanation:

The slope is usually a function of the differences in y divided by the differences in x, and it can be described in the following equation,

$Slope = \frac{y_{1} - y_{2} }{x{1} - x{2}}$ (1)

We can select any of the two points to be our first point, let's say, J(1,-4) is point 1, so J (x1,y1). In other words, $x_1 = 1 and y_1 = -4$ and by the same way, for K(-2,8). Therefore, $x_2 = -2 while y_2 = 8$ . By substituting these values in equation 1, we can deduce the following