the points (8, 1) and (5, 2) fall on a particular line. what is its equation in point - slope form? use one…
the points (8, 1) and (5, 2) fall on a particular line. what is its equation in point - slope form? use one of the specified points in your equation. write your answer using integers, proper fractions, and improper fractions. simplify all fractions.
Answer
Explanation:
Step1: 计算斜率
根据斜率公式(m=\frac{y_2 - y_1}{x_2 - x_1})，已知两点((8,1))和((5,2))，则(m=\frac{2 - 1}{5 - 8}=\frac{1}{-3}=-\frac{1}{3})。
Step2: 代入点斜式方程
点斜式方程为(y - y_1 = m(x - x_1))，若取点((8,1))，则方程为(y - 1=-\frac{1}{3}(x - 8))；若取点((5,2))，则方程为(y - 2=-\frac{1}{3}(x - 5))。
Answer:
(y - 1=-\frac{1}{3}(x - 8)) 或 (y - 2=-\frac{1}{3}(x - 5))