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harkovskaia [24]
2 years ago
9

Write a linear equation representing the information shown in the table.

Mathematics
1 answer:
Law Incorporation [45]2 years ago
8 0

Answer:

A

Step-by-step explanation:

This is how I write

y=kx+m

but I have seen some write it like this:

y=mx+b

Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.

y=kx+m

To find out what k

k =  \frac{y2 - y1}{x2 - x1}

So you first need to choose two points.

I'll go for (0,-5) and (2,0)

k =  \frac{0 - 5}{2 - 0}

k = \frac{ - 5}{2}

Now you could insert k into the equation and it will look like this.

y =  \frac{ - 5}{2}x + m

To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.

- 5 =  \frac{ - 5}{2} \times 0 + m

m=-5

Try it with another point to see if you get the same answer. this time I'll pick (-6,10)

10=  \frac{ - 5}{2} \times( - 6)+ m

m= -5

The equation will be y=-5/2x-5)

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