Math Problem Statement
write an equation in standard form of the line shown (- 4 3 (- 5 2
Solution
It seems like you're describing two points, but the notation is a bit unclear. Based on your message, I assume you're referring to the points (-4, 3) and (-5, 2). If that's correct, let's go ahead and write the equation of the line in standard form using these two points.
Step-by-Step Solution:
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Identify the two points: The points are and .
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Find the slope (): The slope formula is: Plugging in the coordinates of the points: So, the slope .
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Use the point-slope form of the line equation: The point-slope form of the equation is: Using point and slope , we get:
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Simplify to slope-intercept form: Distribute the slope: Then, solve for :
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Convert to standard form: To write the equation in standard form , move all terms to one side: Multiply through by to make the coefficient of positive:
So, the equation of the line in standard form is:
Let me know if you'd like more details on any step, or if this is what you were looking for!
Related Questions:
- How do you find the slope when two points are given?
- What is the difference between slope-intercept form and standard form of a line?
- How do you graph the equation ?
- What are the characteristics of parallel lines in terms of their slopes?
- How can you convert from point-slope form to standard form?
Tip: Always check the sign of your slope before converting to different forms to ensure consistency in the final equation!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Point-slope form: y - y1 = m(x - x1)
Standard form: Ax + By = C
Theorems
Equation of a Line Theorem
Suitable Grade Level
Grades 8-10
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