Hey there!
Line passes through (4, -1) & is parallel to 2x -3y=9
Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.
The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.
Start off by subtracting 2x from both sides.
-3y = -2x + 9
Then, divide both sides by -3.
y = (-2x + 9)/-3
Simplify.
y = 2/3x - 3
"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.
We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.
Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).
y-y₁=m(x-x₁)
Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.
y - (-1) = 2/3(x - 4)
Simplify.
y + 1 = 2/3 + 8/3
Simplify by subtracting 1 from both sides.
y = 2/3x + 8/3 - 1
Simplify.
y = 2/3x + 5/3
~Hope I helped!~
Answer: 0.25
<u>Step-by-step explanation:</u>
You need to convert the cm³ into m³
= .25 m³ per m²
Answer:
y = -3x + 9
Step-by-step explanation:
y = mx + b where m is the slope and b is the y intercept
The hypotenuse is on the same line as BC but twice as long. So extend that line up and it will cross the y axis at (0,9). 9 will be your y intercept.
To find the slope start at C and count up 9 and to the left 3 to get to B.
So the slope is rise/run or 9/(-3) = -3.
Final equation would be y = -3x + 9
Answer:
, 
, 
, 
Step-by-step explanation:
The bag has a total of (4+2+3+5) = 14 balls. Set up the proportions:
Red: 
green: 
yellow: 
blue: 
Now solve!
Removing 1 yellow, 1 red, 1 green, and 1 blue = 
Removing 1 blue, 1 green, 1 green, and 1 yellow = 
Removing 1 red, 1 red, 1 yellow, and 1 yellow = 
Removing 1 green, 1 yellow, 1 yellow, and 1 red = 
