A line passes through (1, 1), (-2, 4), and (6, n). Find the value of n.

Hello! Charchar here!

Ans: n = -4

Step-by-step explanation:

General equation of the Line that passes through the 2 points

A(1, 1) and B(-2, 4) --> y = ax + b.

A(1, 1) --> 1 = a + b (1) --> b = 1 - a

B(-2, 4) --> 4 = -2a + b (2).

4 = -2a + 1 - a --> -3a = 3 --> a = -1 --> b = 1 -(01) = 2

Equation of the line AB -->  y = − x + 2

Write that the line AB passes through C (6, n):

n = - 6 + 2 = -4

graph{-x + 2 [-10, 10, -5, 5]}

Hope this helped!

Have a nice day!

The answer that n equals -4.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.