The general form for a line through two points (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
This is better than the slope forms because it works in the no slope case, as does the standard form.
If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.
Here we have
(0 - -5)(y - 0) = (-9 - 0)(x - - 5)
5y = -9(x+5)
5y = -9x - 45
9x + 5y = -45
Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero. I like the constant alone.
Answer: 9x + 5y = -45
Check:
We check each point is on the line
(-5,0)
9(-5) + 5(0) = -45, good
(0, -9)
9(0) + 5(-9) = -45, good again
Answer:
I'm pretty sure a set a decimal fractions is {1/4, 1/2, 3/4}
I think a set of whole numbers is {3, 4, 5.}
A set of integers might be {-2, -1, 0, +1.}
I'm am sure a set of natural numbers is {1, 2, 3.}
The set if rational numbers is {0.1, 0.2, 0.3} I think.
I am not that sure if my answers are right or not so sorry if this is incorrect.
Answer:
independent
Step-by-step explanation:
We put the independent variable on the x axis ( or horizontal) and the dependent variable on the y axis ( or vertical)
Answer:
64
Step-by-step explanation:
he's 64 inches tall
- multiply 12 by 5, which is 60
- then add four, 60 + 4 = 64
Answer:
(#14 - supplementary) x = 10.5
(#15 - supplementary) x = 10
Explanation:
For these problems, we must know that a supplementary angle can be viewed as a sum of angles that add to 180 degrees. With this known, we can write our equations to find x.
(#14)
15x - 12 + 5x - 18 = 180
20x - 30 = 180
20x = 210
x = 10.5
(#15)
6x + 13 + 14x - 33 = 180
20x - 20 = 180
20x = 200
x = 10
Hope this helps.
Cheers.
