Answer:
a. 4
b. -8
c. -2
Step-by-step explanation:
Take any number x;
Its opposite is -x
The opposite of its opposite is x
Using the above statements, we can solve the following questions
Solving (a): -4
In this case:
The opposite; -x is
Solving (b): 8
In this case:
The opposite; -x is
Solving (c): -2
In this case:
The opposite; -x is
The opposite; -(-x) is
It means, Point X is in more depth as compared to Point Y.
Hope this helps!
Answer:
B
Step-by-step explanation:
Because the slope is a positive slope (goes through the positive quandrants on the graph), we can eliminate answer choices c. Now, if we solve a, b, and d and we can see if the slope + y-intercept matches the graph.
For A.) (solve for y to get a y=mx + b equation)
3x-2y=4
-2y= -3x + 4
<u>y= 3/2 -2</u>
For B.)
3x-2y= -4
-2y= -4-3x
<u>y= 3/2 + 2</u>
For D.)
2x+3y= 4
3y= 4-2x
<u>y= -2/3x + 4/3</u>
Now, if we look at D, the slope is negative so it cannot be D. That leaves us with A and B. The b in the y=mx + b equation stands for the y-intercept, so we can see that the y-intercept is 2. So, since the graph intersects the y-axis at (0,2), the answer is B! y=3/2 + 2 has a positive slope and 2 for the y-intercept!
The rate of change is also called the slope
the formula foe the rate of change is (y2-y1) / (x2-x1)
x1 = -3
x2 = 6
y1 = 14
y2 = -1
rate of change = (-1 - 14) / (6- (-3)
= -15 / 9
= -5/3
