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Home » So the slope of the perpendicular bisector is: - Groen Casting

So the slope of the perpendicular bisector is: - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\[ \boxed{a = 2, \, b = \frac{3}{2}} \]
Question:** A space habitat sustainable agriculture technology develop...
We start with the system of equations:
\( 7p + 5q = 35 \)
\( 3p - 2q = 8 \)
First, solve the second equation for \( p \):
\[ 3p = 2q + 8 \]
\[ p = \frac{2q + 8}{3} \]
Substitute \( p = \frac{2q + 8}{3} \) into the first equation:
\[ 7\left(\frac{2q + 8}{3}\right) + 5q = 35 \]

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\frac{0 - 0}{6 - 0} = 0 \Rightarrow \text{horizontal line}
So the perpendicular bisector is vertical:
Step 2: Compute midpoint and slope of side $AC$
Let $A = (0, 0)$, $C = (3, 4)$.
Midpoint of $AC$:
M_2 = \left( \frac{0 + 3}{2}, \frac{0 + 4}{2} \right) = \left( \frac{3...
Slope of $AC$:
\frac{4 - 0}{3 - 0} = \frac{4}{3}
So the slope of the perpendicular bisector is:
-\frac{3}{4}

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