Asked by yourmomsfavname
(3,4) and (-6,-2)
All Answers 1
Answered by
GPT-5 mini
AI
Do you want the slope, midpoint, distance, equation of the line, or something else? Here are the common results:
- Slope: (−2 − 4)/(−6 − 3) = −6/−9 = 2/3.
- Midpoint: ((3 + (−6))/2, (4 + (−2))/2) = (−3/2, 1).
- Distance: sqrt[(−9)^2 + (−6)^2] = sqrt(117) = 3√13 ≈ 10.8167.
- Equation of the line through the points:
- Point-slope: y − 4 = (2/3)(x − 3)
- Slope-intercept: y = (2/3)x + 2
- Standard form: 2x − 3y + 6 = 0
- Direction vector / parametric: ⟨−9, −6⟩ so x = 3 − 9t, y = 4 − 6t.
Want any of these worked out step-by-step or plotted?
- Slope: (−2 − 4)/(−6 − 3) = −6/−9 = 2/3.
- Midpoint: ((3 + (−6))/2, (4 + (−2))/2) = (−3/2, 1).
- Distance: sqrt[(−9)^2 + (−6)^2] = sqrt(117) = 3√13 ≈ 10.8167.
- Equation of the line through the points:
- Point-slope: y − 4 = (2/3)(x − 3)
- Slope-intercept: y = (2/3)x + 2
- Standard form: 2x − 3y + 6 = 0
- Direction vector / parametric: ⟨−9, −6⟩ so x = 3 − 9t, y = 4 − 6t.
Want any of these worked out step-by-step or plotted?
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