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ANOTHER BIG QUESTION, 100 POINTS

Write reciprocals, opposites, the same, or negative reciprocals in each blank.

The slopes of parallel lines are _.

The slopes of perpendicular lines are _.

Find the slopes of lines AB and CD. Show your work.

Line AB goes through points A(3, 4) and B(7, 7).

Line CD goes through points C(0, 0) and D(-6, 8).

Use Parts I and II to determine if AB and CD are parallel, perpendicular, or neither. Explain your answer.
Graph and on the grid to support your answer from Part III.

ANOTHER BIG QUESTION 100 POINTSWrite Reciprocals Opposites The Same Or Negative Reciprocals In Each BlankThe Slopes Of Parallel Lines Are The Slopes Of Perpendi class=

Sagot :

semsee45

Answer:

The slopes of parallel lines are the same

The slopes of perpendicular lines are negative reciprocals

Line AB

[tex]\textsf{let}\:(x_1,y_1)=(3,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(7,7)[/tex]

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-4}{7-3}=\dfrac{3}{4}[/tex]

Line CD

[tex]\textsf{let}\:(x_1,y_1)=(0,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-6,8)[/tex]

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-0}{-6-0}=-\dfrac{4}{3}[/tex]

As the slopes of AB and CD are negative reciprocals of each other, lines AB and CD are perpendicular.

View image semsee45
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