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Marina CMI [18]
3 years ago
9

Determine the slope of the line that passes through (2, 2) and (5,8)

Mathematics
1 answer:
tangare [24]3 years ago
3 0

Answer:2

Step-by-step explanation:

Slope = rise/run = (8-2)/(5-2) = 6/3 = 2

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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
Please help me immediately ​
Elis [28]
I hope this helps you out. It is very tedious

6 0
3 years ago
Lisa has three classes that each last 50 minutes what is the total number of minutes that the classes last
gulaghasi [49]
The Answer is B Because 50 x 3 = 150... Weird Pic thou
7 0
2 years ago
Read 2 more answers
skis at a sports store near snow summit are on sale for $476. if the original price was $560, what discount rate does this repre
trapecia [35]
The answer would be 560-476 equals 84
8 0
3 years ago
What would the missing coordinate be if there was an inverse relationship between points (12,3) and (x,9)
Paraphin [41]

Answer:

4.

Step-by-step explanation:

inverse proportion:

12/3=x/9.

3x3=9 therefore 12/3 which is 4.

The missing coordinate is 4.

Hope this helps plz hit the crown :D

5 0
2 years ago
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