Answer: Horizontal
Step-by-step explanation: The equation <em>y = -2</em> can be thought of as y = 0x - 2. So our line has a slope of 0 and a y-intercept of -2.
To graph it, we start with the y-intercept, down 2 units on the y-axis. Now, if the slope of a line is 0, then the line must be flat or horizontal.
So we just draw a horizontal line through the y-intercept of -2.
In fact, when the equation of any line reads y = a number, it's graph will always be a horizontal line. For example, y = 3, y = -10, y = -8 and so on.
Image provided below.
Step-by-step explanation:
Pythagoras' theorem for the smallest one :


= 52
Pythagoras' theorem for the middle one :
=
+ 
Pythagoras' theorem for the biggest one :


Using the formula before (for
) it becomes :



16 + 8a = 52 + 36
16+8a = 88
8a = 88-16
8a = 72
a = 9
Verifying :



= 117
The biggest one :



True
Answer:
3/-1
Step-by-step explanation:
The slope is 3/-1 (Rise 3 on the y axis, run to the negatives by 1 on the x axis)
To find the slope of two points, use the formula of y2-y1/x2-x1 (For example, with this equation it would be 10-4/10-12)
I'm not sure what it means to interpret the slope, but hopefully this helped you!
The answer is 9.5 ( rounded, answer is 9.486833)
Answer:
4
Step-by-step explanation: