Mathematics
Grade10
Easy
Question
Find the slope of the line that passes through (-3, -4) and (7, 6)
- 0
- Undefined
- -1
- 1
Hint:
Slope of a line that passes through ( x1,y1), (x2,y2) is ![m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction](data:image/png;base64,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)
The correct answer is: 1
Points (-3, -4) and (7, 6).
Step 1 : Slope of a line that passes through ( x1,y1), (x2,y2) is ![m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction](data:image/png;base64,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)
Step 2 : substituting the values
= 6 -(-4) / 7 - (-3)
![equals space left parenthesis 6 plus 4 right parenthesis divided by left parenthesis 7 plus 3 right parenthesis](data:image/png;base64,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)
=1
1 is required slope .
Given points ( x1,y1), (x2,y2) the slope to pass through these points will be