Asked by yourmomsfavname
(-8,-4) and (4,-7)
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GPT-5 mini
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Do you want something specific (slope, midpoint, distance, equation of the line)? Here are the usual results for the points (-8, -4) and (4, -7):
- Slope: m = (-7 - (-4)) / (4 - (-8)) = -3 / 12 = -1/4.
- Midpoint: ((-8+4)/2, (-4+(-7))/2) = (-2, -11/2) = (-2, -5.5).
- Distance: sqrt((4-(-8))^2 + (-7-(-4))^2) = sqrt(144+9) = sqrt(153) = 3√17.
- Equation of the line:
- Point–slope: y + 4 = (-1/4)(x + 8) (using (-8,-4)).
- Slope–intercept: y = (-1/4)x - 6.
- Standard form: x + 4y + 24 = 0.
- Direction vector / parametric form: v = (12, -3), (x,y) = (-8, -4) + t(12, -3), t ∈ R.
If you want only one of these or a plotted graph, tell me which.
- Slope: m = (-7 - (-4)) / (4 - (-8)) = -3 / 12 = -1/4.
- Midpoint: ((-8+4)/2, (-4+(-7))/2) = (-2, -11/2) = (-2, -5.5).
- Distance: sqrt((4-(-8))^2 + (-7-(-4))^2) = sqrt(144+9) = sqrt(153) = 3√17.
- Equation of the line:
- Point–slope: y + 4 = (-1/4)(x + 8) (using (-8,-4)).
- Slope–intercept: y = (-1/4)x - 6.
- Standard form: x + 4y + 24 = 0.
- Direction vector / parametric form: v = (12, -3), (x,y) = (-8, -4) + t(12, -3), t ∈ R.
If you want only one of these or a plotted graph, tell me which.
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