Question

Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis.

Answer 1

Answer:

The answer is y = -2x + 6

Step-by-step explanation:

Complete Question:

Complete the equation of the line through (1,4) and (2,2)

Answer: y = -2x + 6

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Answer 2

Answer:

$y = -2x + 6$

Step-by-step explanation:

Given

$(x_1,y_1) = (1,4)$

$(x_2,y_2) = (2,2)$

Required

Determine the line equation

First, we calculate the slope (m) using

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{2-4}{2-1}$

$m = \frac{-2}{1}$

$m = -2$

The equation is then calculated using:

$y - y_1 = m(x - x_1)$

$y - 4 = -2(x - 1)$

Open bracket

$y - 4 = -2x + 2$

$y = -2x + 2 + 4$

$y = -2x + 6$