Y = -3x + 13
Steps and the graph are on paper
To find what percentage one number is of another; divide the first number by the other number and multiply by 100 !
p = ( 6 / 76 )× 100 ;
p = 600 / 76 ;
p = 7.89 ≈ 8 ;
p% = 8% ;
I believe its C.
Im not 100% sure tho
Answer:
The slope in that equation is 1/3 so you would go up on the coordinate plane one, and over three. The y intercept, is 2. Any linear equation in slope intercept form, y=mx+b, will be set up that way, so hopefully this helps, it's the easiest way to find the slope and y intercept, m is always the slope, and b is always the y intercept. :)
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
