3.7 Perpendicular Lines in the Coordinate Plane. Geometry Mrs. Spitz Fall 2005. Standard/Objectives:. Standard 3: Students will learn and apply geometric concepts. Objectives: Use slope to identify perpendicular lines in a coordinate plane Write equations of perpendicular lines.
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Standard 3: Students will learn and apply geometric concepts.
m1∙ m2 = -1
-2∙ m2 = -1
m2 = ½
Then use m = ½ and (x, y) = (4, 0) to find b.
y = mx + b
0 = ½(4) + b
0 = 2 + b
-2 = b
So, an equation of l2 is
y = ½ x - 2Ex. 5: Writing the equation of a perpendicular line.
The mirror’s slope is 3/2, so the slope of p is -2/3. Use m =
-2/3 and (x, y) = (-2, 0) to find b.
0 = -2/3(-2) + b
0 = 4/3 + b
-4/3 = b
So, an equation for p is
y = -2/3 x – 4/3Ex. 6: Writing the equation of a perpendicular line