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!~
7 7/9 clergs.
wergs= w
nergs= n
clergs= c
3w= 4n, so 5w= 6 2/3n
Since 6n=7c, then 6 2/3n= 7 7/9n
Hope that answered your question!!
Answer:
c
Step-by-step explanation:
The red graph is the black graph translated vertically by 1 unit
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus f(x) + 1
Note
y - 1 = f(x) ← add 1 to both sides
y = f(x) + 1 ← as required
The equation of the red graph is
y - 1 = f(x) → c
Your answer should be 3/4 a cup
9514 1404 393
Answer:
a) GH or HG
b) KL
c) YZ or ZY
d) EF
Step-by-step explanation:
A segment or line can be named by naming two points on it in any order. The points naming a line segment are its end points.
A ray is named by first naming its end point, then any other point on the ray.
a) GH or HG
b) KL
c) YZ or ZY
d) EF
