Question 0.1.14: Finding the Equation of a Perpendicular Line Find an equatio...
Finding the Equation of a Perpendicular Line
Find an equation of the line perpendicular to y = −2x + 4 and intersecting the line at the point (1, 2).
The slope of y = −2x + 4 is −2. The slope of the perpendicular line is then -1 /(-2)=\frac{1}{2}. Since the line must pass through the point (1, 2), the equation of the perpendicular line is
y=\frac{1}{2}(x-1)+2 \quad \text { or } \quad y=\frac{1}{2} x+\frac{3}{2}We show a graph of the two lines in Figure 0.16.
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