Question

How do i figure out y=mx+b

Answer 1

Answer: y= -2x+9

Explanation:

m is the increase each time the x axis goes up one

We can see that it goes down 2 every time so the m value is -2

the b value is the number when the x axis is at 0, we can see on the y axis this number is 9

Answer 2

The equation is:

y = -2x + 9

Work and explanation:

We should first find the slope of the graphed line.

Remember that :

`\boldsymbol{m=(rise)/(run)}`

rise = how many units we move up/down the y axis

run = how far we move on the x axis

The given slope goes "down 2, over 1" so:

• rise = -2
• run = 1

That makes the slope:

`\boldsymbol{m=-(2)/(1)}`

If simplified, it gives us -2. So we have figured out the slope, m. Now, to figure out the y intercept, we should look at where the graphed line intercepts the y axis. This happens at (0, 9).

The y intercept is the second number; therefore the y intercept is 9.

Therefore, the equation is y = -2x + 9.