Math Problem Statement
Write an equation, in point-slope form, of the line that passes through the given points: ( 1, - 8 ) ( 2, - 5 )
Solution
To write the equation of a line in point-slope form, we need to follow these steps:
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Find the slope of the line that passes through the points and .
The slope formula is:Substituting the given points into the formula:
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Use the point-slope form equation, which is:
We can use either of the given points. Let's use :
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Simplify the equation:
This is the equation of the line in point-slope form.
Would you like a more detailed explanation, or do you have any other questions?
Here are 5 related questions for further practice:
- Write the equation in slope-intercept form for the same line.
- Find the equation of a line passing through the points and .
- Determine the slope of a line that is perpendicular to the line passing through and .
- Write the equation of the line with a slope of 4 that passes through the point .
- Find the point of intersection between the line passing through and and the line .
Tip: The point-slope form is especially useful when you know a point on the line and its slope, allowing for quick equation writing without rearranging to slope-intercept form immediately.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope
Point-Slope Form
Formulas
Slope formula
Point-Slope Form equation
Theorems
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Suitable Grade Level
Grades 7-9
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