Please help with my algebra hw :) WILL FAN AND MEDAL

Find the rate of change for each table and equation. How did you fid the rate of change?
graph: x= 2 4 6
y= 10 20 30

Equation: 5x+3y=-2

Question

Please help with my algebra hw :) WILL FAN AND MEDAL

Find the rate of change for each table and equation. How did you fid the rate of change?
graph: x=   2  4    6
           y=  10  20  30

Equation: 5x+3y=-2

anonymous · Answer

x=-2 and y=4

anonymous · Answer

how did you find the rate of change?

anonymous · Answer

@Data_LG2  do you mind helping me on this problem ?

anonymous · Answer

ok so i need to turn this in soon and i need to find the rate of change for both the equation and graph. i understand that for the graph the x increases by 2 and the y increases by 10, but how do i write that out on my paper? then i have to explain to my teacher how i got the answer

anonymous · Answer

There are two methods:
Using the slope formula:
The formula for slope is: $$\frac{y _{2}  - y_{1}} { x_{2} - x_{1}}\ $$ Plug-in two points to find the slope:
$$\frac{20-10}{4-2} = \frac{10}{2} = 5$$
Using y=mx+b form. (Slope-intercept form)
$$5x+3y = -2$$ to $$3y = 5x -2$$ to $$y = 5/3x -2/3$$ The slope is m. (5/3)

anonymous · Answer

@SpooksDF thank you for breaking it down for me that makes a lot of sense.