I will try to make this as simple as possible.
First off, we need to know what a rational number is: A rational number is any number that can be made by dividing 2 integers. For example:
1.5 would be a rational number because 1.5 = 3/2 (3 and 2 are both integers)
With that being said, let's begin.
First off, let's start with -0.3, let's ask ourselves, can we make this number by dividing 2 integers, the answer is yes, we can, by doing 
we have the equivalent of -0.3, so now we know it's a rational number.
As for the second one, it can't be a rational number because it can't be made by dividing to integers, so the answer is:
-0.3 is a rational number, but 3.14144144414444 is not.
Hope this helped! c:
Answer:
The slope is 3
Step-by-step explanation:
For this, you do y2-y1 over x2-x1
In this case, 12-0 and 4-0, leaving you 12/4, which is 3.
Hope this helps!
You multiply it to find the answer
Answer:
r = - 11
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = 
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)
m = 
= 
= - 4 ( multiply both sides by 4 )
r - 5 = - 16 ( add 5 to both sides )
r = - 11
First you have to find the slope with the equation y2 - y1 / x2 - x1 , then once you have found the slope (slope = -2) you simply plug it into the point slope formula. y-0 = -2(x-5) solving it algebraically you should arrive at Y=-2x+10. (the 5 and 0 were plugged in are two of the X and Y points of the line which is why we plugged them into the X and Y values of the equation)
