I had a question about #6 on the homework, so here it goes!
1. Look for a variable that is isolated. In this problem we see x=, so we will use that equation. Put a box around y-8, that is the expression we will be substituting in for x.
2. Substitute y8 in for x in the second equation. NOTE: There is a negative in front of x, so we need to put parenthesis: -(y-8)-y=0.
3. Solve for y. Make sure you use the distributive property! -y+8-y=0 -> -2y +8 = 0 -> -2y=-8 -> y=-4
4. Now that we know y=-4, plug your answer into x = y+8. x= -4 + 8, so x=4!
5. Final answer? (4, -4)!
Compare the rates of change for the two functions represented below.
For Function 1, any y-value can be found using the rule: multiply by -2 and then add 3.
The graph below represents Function 2.
Which statement about the rates of change for the two functions is true?