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lutik1710 [3]
3 years ago
11

MY FRIEND NEEDS THIS RN (40points) PLEASE AND TYY

Mathematics
1 answer:
Gnom [1K]3 years ago
6 0

Answer:

(2,2)

Step-by-step explanation:

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What is the equation of the line?
spin [16.1K]

Answer:

y=1/2x+2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(0,2) and (-4,0).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=2.

Also, let's call the second point you gave, (-4,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-4 and y2=0.

Now, just plug the numbers into the formula for m above, like this:

m= 0 - 2-4 - 0 or... m= -2-4 or... m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(0,2). When x of the line is 0, y of the line must be 2.

(-4,0). When x of the line is -4, y of the line must be 0.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,2) and (-4,0).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(0,2). y=mx+b or 2=1/2 × 0+b, or solving for b: b=2-(1/2)(0). b=2.

(-4,0). y=mx+b or 0=1/2 × -4+b, or solving for b: b=0-(1/2)(-4). b=2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(0,2) and (-4,0)

is

y=1/2x+2

4 0
3 years ago
HELP!!! WILL MARK BRANLIEST!! What is the equation of the graph below?​
KATRIN_1 [288]

Answer:

c

Step-by-step explanation:

I plugged the equations into Desmos Graphing Calculator and C matched

Hope This Helps!     Have A Nice Day!!

4 0
3 years ago
HELP ASAP I WILL GIVE BRAINLIEST
melomori [17]

Answer:

x = 15

Step-by-step explanation:

The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.

We are told that the width of the triangle is 10, and that the line of length 10 is perpendicular to the longest side of the triangle.  Because of that we know that x can be multiplied by ten to get the area of the rectangle that is twice the area of the triangle.

We are also told that the triangle's area is 75 units.  With all of that put together, we can say:

a = (10 * x) / 2\\75 = 5 * x\\x = 15

3 0
3 years ago
In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist? i, iii, and iv
tigry1 [53]

The solutions will lie  in all the four quadrants.

y≤2/7x+1

We have the following inequality:

y=2/7x+1

If x=0

y=2/7(0) +1

y=1

If y=0

x=-3.5

So the line passes through the points:

(0,1) and (-3.5,0)

To find the shaded region, let us take a point, namely, the origin and test it in the inequality:

y≤ 2/7x +1

0≤ 2/7(0) +1

0≤ 1 which is true

Since this is true, then the shaded region includes this point. This is shown below and as you can see the solutions exist in all four quadrants.

To learn more about Inequalities, visit brainly.com/question/12890742

#SPJ4

4 0
2 years ago
There are 12 months in a year. Use the drop-down menus to help write the equation that can be used to find the number of months,
stepladder [879]

Answer:

Honestly I don’t know I need help

Step-by-step explanation:

8 0
2 years ago
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