Question

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

A) y= -5/2x-5
B) y=-2/x-5
C) y=5/2x-5
D) y = 2/x-5

Answer 1

A

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 = (y2 - y1)/(x2 - x1)`

So you first need to choose two points.

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

`k = (0 - 5)/(2 - 0)`

`k = ( - 5)/(2)`

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

`y = ( - 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 = ( - 5)/(2) * 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= ( - 5)/(2) *( - 6)+ m`

m= -5

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