Question

5x + 3y = -2. Find the rate of change.

Answer 1

rate of change is just the slope of the line.

Answer 2

you can solve for y then the number before the x is your slope

Answer 3

5x+3y=-2

Since 5x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 5x from both sides.
3y=-5x-2

Divide each term in the equation by 3.
(3y)/(3)=-(5x)/(3)-(2)/(3)

Cancel the common factor of 3 in (3y)/(3).
(<X>3<x>y)/(<X>3<x>)=-(5x)/(3)-(2)/(3)

Remove the common factors that were cancelled out.
y=-(5x)/(3)-(2)/(3)

To find the slope and y intercept, use the y=mx+b formula where m=slope and b is the y intercept.
y=mx+b

Using the y=mx+b formula, m=-(5)/(3) and b=-(2)/(3).
m=-(5)/(3), b=-(2)/(3)

Answer 4

now that you have the slope and y-intercept do you know how to proceed and get your answer?