what is the rate change in -8x-4y=10-2x+6y

Question

Confused. Help needed. 

 

-8x-4y=10-2x+6y

Answer 1

Hi Caitlyn,

Edward gave a big hint, "Rate of change is another way of saying slope."

For your problem, convert the equation to slope-intercept form, y = mx + b.

- 8x - 4y = 10 - 2x + 6y    add 4y to each side

- 8x = 10 - 2x + 10y         now add 2x to each side

- 6x = 10 + 10y                now add - 10 to each side

- 6x - 10 = 10y                 reverse the equation, to list the 'y' on the left

10y = - 6x - 10                 divide each term by 10

y = (-6/10)x - 1                simplify the fraction

y = (-3/5)x - 1                  now that the formula is in 'slope-intercept form', you can see the slope is - 3/5

Remember Edward's hint:  You need the 'rate' and you found the slope...

Hope this helps, Caitlyn,

Mary Ann

Answer 2

Rate of change is another way of saying slope.  

 

Can you answer the question now?