Problem
Unit test Google Classroom This table gives a few \( (x, y) \) pairs of a line in the coordinate plane. \( \begin{array}{cc}x & y \\ 34 & -52 \\ 51 & -65 \\ 68 & -78\end{array} \) What is the \( y \)-intercept of the line?
Solution
Step 1 ：\(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-65 - (-52)}{51 - 34} = \frac{-13}{17}\)
Step 2 ：\(y - (-52) = \frac{-13}{17}(x - 34)\)
Step 3 ：y - intercept: x = 0, y = -52 + \frac{-13}{17}(0 - 34)
