Answer:
Correct statements:
Step-by-step explanation:
A line that rises from left to right has a positive slope.
A line that falls from right to left has a negative slope.
A horizontal line has no slope. (slope of 0)
Answer:
The function y = -x whose reflection in the line y =x is itself.
Step-by-step explanation:
A reflection that maps every point of a figure to an image across a fixed line. Then the fixed line is called the line of reflection.
The reflection of the point (x,y) in the line y = x is the point (y, x).
Therefore, the function y = -x whose reflection in the line y =x is itself.
Symmetries of the function f(x)= -x is:
A function symmetric with respect to the y-axis is called an even function.
If f(-x) = f(x)
A function that is symmetric with respect to the origin is called an odd function.
if f(-x) = -f(x)
then, we must look at f(-x);
f(x) = -x
f(-x)= -(-x)= x = -f(x)
this function is symmetrical to with respect to origin.
Therefore, this function is an odd function.
a= 16x+16
b= 40x + 15
Step-by-step explanation:
We know that perimeter of a rectangle is

So therefore



Answer= A) that is perimeter is 16x+16
We know that area of a rectangle is l×b
So therefore


Answer = b) that is area is 40x + 15
The last equation is the correct one since if we multiply the slope of the given line by the slope of the line of this equation, you'll get -1, and if you substitute the coordinates of the given point in this equation, you'll get -2=3/2(-2)+1=-2 which means that this point belongs to the line of this equation