find the slope of the line joining po
ints A(2,3) B(5,9) ?
Answers
Answer:
m = 2.
Step-by-step explanation:
Given points are
A(2,3) B(5,9)
Slope = m = (y2-y1)/(x2-x1)
=> (9-3)/(5-2)
=> 6/3
:. m = 2.
I hope it helps you!!!
The slope of the line joining points A( 2, 3 ), and B( 5, 9 ) is 2.
Given: The points are A( 2, 3 ), B( 5, 9 )
To Find: The slope of the line joining the points A( 2, 3 ), B( 5, 9 ).
Solution:
- We know that we can find the slope of a line if any two points on the line are given. This is done using the two-point slope form.
- The formula for finding the slope using the two-point form is given below;
m = ( y2 - y1 ) / ( x2 - x1 ) ....(1)
Where m = the slope of the line, ( x1, y1 ) = first point, ( x2, y2 ) = second point.
Coming to the question,
The given points are = A( 2, 3 ), B( 5, 9 )
Here, we can say that;
( x1, y1 ) ≡ ( 2, 3 ) and ( x2, y2 ) ≡ ( 5, 9 )
Putting respective values in (1), we get;
m = ( y2 - y1 ) / ( x2 - x1 )
⇒ m = ( 9 - 3 ) / ( 5 - 2 )
⇒ m = 6 / 3
⇒ m = 2
Hence, the slope of the line joining points A( 2, 3 ), and B( 5, 9 ) is 2.
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