Equations for Lines Using Normal Segments
The equations given are in standard form. Put each equation in slope-intercept form. State the slope and the 𝑦-intercept.
Given 𝐴(5,−7) and 𝐵(8,2):
a. Find an equation for the line through 𝐴 and perpendicular to 𝐴𝐵
b. Find an equation for the line through 𝐵 and perpendicular to 𝐴𝐵
Describe the characteristics of a normal segment.
Every equation of a line through a given point (𝑎, 𝑏) has the form 𝐴(𝑥 −𝑎) + 𝐵(𝑦 − 𝑏) = 0. Explain how the values of 𝐴 and 𝐵 are obtained.
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