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

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)