What is the slope of the line? Explain: I found the slope by _____________ ______________________________________________. I knew it was positive/negative (circle one) because it is _______________________________ ______________________________________________. 4. How many solutions does the equation have? 8 + 3(𝑥 − 6) = −2 + 3𝑥 − 4 R. one solution S. infinite solutions T. no solutions Work: 5. How many solutions does the equation have? 8 + 2(𝑥 − 6) = −2 + 2𝑥 − 2 S. one solution T. infinite solutions U. no solutions

Answer 1

4. The slope of the line is 3/1. I found the slope by comparing the change in y-coordinates (3) to the change in x-coordinates (1) between two points on the line. I knew it was positive because as x increased, y increased as well.

5. The equation 8 + 3(𝑥 − 6) = −2 + 3𝑥 − 4 has no solutions. This can be determined by simplifying the equation to see if it leads to a contradiction. By expanding and simplifying, we see that the equation becomes 8 + 3𝑥 - 18 = -2 + 3𝑥 - 4, which simplifies to 3𝑥 - 10 = 3𝑥 - 6. Ultimately, this leads to a contradiction as -10 does not equal -6. Therefore, there are no solutions.