Asked by Anonymous

-2x+6 what is the rate of change between the two variables, what is the y intercept, can you Also answer these same questions for the equation y = -3x + 10
Answered by Steve
rate of change is how fast y changes when x changes by 1.

y = -2x+6
Note that -2 in front of x. That is the slope of the line, or also the rate of change. You can see that adding 1 to x add -2 to y. So, -2 is the rate of change (of y with respect to x).

y = -3x+10
slope = -3

You have to have y all by itself to read off the slope from the equation.

3y = 9x+12
y = 3x+4
slope = 3
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