a line passes through the points (8,6) and (6,10). what is its equation in point - slope form? use one of…
a line passes through the points (8,6) and (6,10). 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: Calculate the slope
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(8,6)) and ((x_2,y_2)=(6,10)). Then (m=\frac{10 - 6}{6 - 8}=\frac{4}{-2}=-2).
Step2: Use the point - slope form
The point - slope form is (y - y_1=m(x - x_1)). Using the point ((8,6)) and (m = - 2), we get (y - 6=-2(x - 8)). (Using the point ((6,10)) would give (y - 10=-2(x - 6)))
Answer:
(y - 6=-2(x - 8)) (or (y - 10=-2(x - 6)))