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Evgen [1.6K]
3 years ago
14

A and B are points on a line that has the slope 2. The abscissa of B exceeds the abscissa of A by 3.5. State the relationship of

the ordinate of B to the ordinate of A.
Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

The ordinate of B exceeds the ordinate of A by 7

Step-by-step explanation:

Let

A(x1,y1),B(x2,y2)

where

x1 is the abscissa of A

x2 is the abscissa of B

y1 is the ordinate of A

y2 is the ordinate of B

we know that

m=\frac{y2-y1}{x2-x1}

m=2

so

2=\frac{y2-y1}{x2-x1}  -----> equation A

x2=x1+3.5 ----> equation B

substitute equation B in equation A

2=\frac{y2-y1}{x1+3.5-x1}  

2=\frac{y2-y1}{3.5}  

7=y2-y1  

y2=y1+7  

therefore

The ordinate of B exceeds the ordinate of A by 7

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<u><em>Explanation</em></u>

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<em>(Please refer to the attached image for the table )</em>

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