9 Extended: Working with the Slope

Complete the questions below before our next class.

1. A line contains the point A(1, 3) and has a slope of 3. Find the coordinates of two other points on the same line.
2. A line contains the point A(0, 5) and has a slope of $\displaystyle{-\frac{2}{3}}$. Find the coordinates of two other points on the same line. (Hint: associate the negative sign with the number in numerator before trying to find other points on the line.)
3. Consider the point A(1, 1). On a grid, graph a line with a slope of $\displaystyle{\frac{3}{5}}$ that passes through point A, and a line with a slope of $\displaystyle{-\frac{5}{3}}$ that also passes through point A. What do you notice about the two lines?