Anonymous
Anonymous asked in Education & ReferenceHomework Help · 3 months ago

# Help- Find the equation of the line containing (1,4) and 3,-2) in slope intercept form.?

### 2 Answers

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• 3 months ago
Favorite Answer

(x₁, y₁) = (1, 4)

(x₂, y₂) = (3, -2)

m = slope

= rise / run

= (change in y) / (change in x)

= (y₂ - y₁) / (x₂ - x₁)

= (-2 - 4) / (3 - 1)

= -6 / 2

= -3

Use that slope and either of the given points in the point-slope form of an equation for a line. I'll use point (x₁, y₁) = (1, 4) :

y - y₁ = m(x - x₁)

y - 4 = -3(x - 1)

y - 4 = -3x + 3

y = -3x + 7

Graph:

https://www.desmos.com/calculator/xr7bakvrke

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• David
Lv 7
3 months ago

Points: (1, 4) and (3, -2)

Slope: -3

Equation: y = -3x + 7

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The text passage contains a mathematical question asking for the equation of a line in slope-intercept form given two points, and it also includes an answer that provides the slope, the equation, and a graph link.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Anonymous
Anonymous asked in Education & ReferenceHomework Help · 3 months ago

# Help- Find the equation of the line containing (1,4) and 3,-2) in slope intercept form.?

### 2 Answers

Relevance
• 3 months ago
Favorite Answer

(x₁, y₁) = (1, 4)

(x₂, y₂) = (3, -2)

m = slope

= rise / run

= (change in y) / (change in x)

= (y₂ - y₁) / (x₂ - x₁)

= (-2 - 4) / (3 - 1)

= -6 / 2

= -3

Use that slope and either of the given points in the point-slope form of an equation for a line. I'll use point (x₁, y₁) = (1, 4) :

y - y₁ = m(x - x₁)

y - 4 = -3(x - 1)

y - 4 = -3x + 3

y = -3x + 7

Graph:

https://www.desmos.com/calculator/xr7bakvrke

• Login to reply the answers
• David
Lv 7
3 months ago

Points: (1, 4) and (3, -2)

Slope: -3

Equation: y = -3x + 7

• Login to reply the answers
Still have questions? Get your answers by asking now.
user
The text passage contains a mathematical question asking for the equation of a line in slope-intercept form given two points, and it also includes an answer that provides the slope, the equation, and a graph link.

TYPE: SINGLE_QUESTION_WITH_ANSWER