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The equation of a line AB is 2x - 2y + 3...

The equation of a line AB is `2x - 2y + 3 = 0.`
  Find the slope of the line AB. 

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To find the slope of the line given by the equation \(2x - 2y + 3 = 0\), we will convert the equation into the slope-intercept form, which is \(y = mx + c\), where \(m\) represents the slope. ### Step-by-step Solution: 1. **Start with the given equation**: \[ 2x - 2y + 3 = 0 \] 2. **Rearrange the equation to isolate \(y\)**: - First, move \(2x\) and \(3\) to the right side: \[ -2y = -2x - 3 \] 3. **Divide the entire equation by \(-2\)** to solve for \(y\): \[ y = \frac{-2x}{-2} + \frac{-3}{-2} \] Simplifying this gives: \[ y = x + \frac{3}{2} \] 4. **Identify the slope \(m\)**: - From the equation \(y = mx + c\), we see that the slope \(m\) is the coefficient of \(x\): \[ m = 1 \] ### Final Answer: The slope of the line AB is \(1\). ---
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ICSE-EQUATION OF A LINE-EXERCISE 14(D)
  1. Lines mx + 3y = -7 and 5x - ny = 3 are perpendicular to each other. ...

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  2. Find the value of p if the lines, whose equations are 2x - y + 5 = 0 a...

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  3. The equation of a line AB is 2x - 2y + 3 = 0.   Find the slope of the...

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  4. The equation of a line AB is 2x - 2y + 3 = 0. Calculate the angle th...

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  5. The lines represented by 4x + 3y = 9 and px - 6y + 3 = 0 are parallel....

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  6. If the lines y = 3x + 7 and 2y + px = 3 are perpendicular to each othe...

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  7. The line through A(-2, 3) and B(4, b) is perpendicular to the line 2x ...

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  8. Find the equation of the line passing through (-5, 7) and parallel to ...

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  9. Find the equation of the line passing through (-5, 7) and parallel to ...

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  10. Find the equation of the line passing through (5, -3) and parallel to ...

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  11. Find the equation of the line parallel to the line 3x + 2y = 8 and pas...

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  12. Find the equation of the line passing through (-2, 1) and perpendicula...

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  13. Find the equation of the perpendicular bisector of the line segment ob...

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  14. In the following diagram, write down : the co-ordinates of the po...

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  15. In the following diagram, write down :   the equation of the line ...

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  16. B (-5, 6) and D (1, 4) are the vertices of rhombus ABCD. Find the equa...

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  17. A = (7, -2) and C = (-1, -6) are the vertices of square ABCD. Find the...

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  18. A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. fi...

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  19. A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. fi...

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  20. A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. fi...

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