Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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.

Sagot :

MrRoyal

Answer:

[tex]y = -2x + 6[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,4)[/tex]

[tex](x_2,y_2) = (2,2)[/tex]

Required

Determine the line equation

First, we calculate the slope (m) using

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2-4}{2-1}\\[/tex]

[tex]m = \frac{-2}{1}[/tex]

[tex]m = -2[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 4 = -2(x - 1)[/tex]

Open bracket

[tex]y - 4 = -2x + 2[/tex]

[tex]y = -2x + 2 + 4[/tex]

[tex]y = -2x + 6[/tex]

ninjathan300

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

Hope this helps! :)

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.