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Find the equations of the lines , whose ...

Find the equations of the lines , whose :
slope = 3 and y- intercept =4

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To find the equation of the line with a given slope and y-intercept, we can use the slope-intercept form of a linear equation, which is: \[ y = mx + c \] where: - \( m \) is the slope of the line, - \( c \) is the y-intercept. ### Step-by-Step Solution: 1. **Identify the given values**: - Slope (\( m \)) = 3 - Y-intercept (\( c \)) = 4 2. **Substitute the values into the slope-intercept form**: - We replace \( m \) with 3 and \( c \) with 4 in the equation \( y = mx + c \). - This gives us: \[ y = 3x + 4 \] 3. **Write the final equation**: - The equation of the line is: \[ y = 3x + 4 \] ### Final Answer: The equation of the line with a slope of 3 and a y-intercept of 4 is: \[ y = 3x + 4 \]
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ICSE-CHAPTERWISE REVISION (STAGE 1) -co-ordinate Geometry
  1. For equations given below find the slope and the y- intercept. 3x + ...

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  2. For equations given below find the slope and the y- intercept. x- ...

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  3. For equations given below find the slope and the y- intercept. x +...

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  4. For equations given below find the slope and the y- intercept. x= 3...

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  5. For equations given below find the slope and the y- intercept. y = ...

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  6. For equations given below find the slope and the y- intercept. 2y +...

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  7. Find the equations of the lines , whose : slope =- 4 and y- interc...

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  8. Find the equations of the lines , whose : slope = 0 and y- intercept...

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  9. Find the equations of the lines , whose : slope = 3 and y- interce...

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  10. Find the equations of the lines , whose : slope = 1 and y - interc...

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  11. Find the distances between the points (2,-5) and (7,7)

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  12. If A = (x,-7 ) , B = (2,5) and AB = 13 units , findx.

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  13. A is a point on x- axis, and point B (5,-4) and AB = 5 units find t...

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  14. Show that A (0,0) , B(5,5) and C (-5,5) are vertices of a right ang...

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  15. Show that the points A(6,4) , B(9,7) and C(11,9) are collinear.

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  16. What point on y-axis is equidistant from the points (7,6) and (-3,4)...

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  17. Calculate the distance between A (7,3) and B on the x-axis whose a...

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  18. A is a point on the y-axis whose ordinate is 5 and B = (-3,1) .Find ...

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  19. Show that the point (2,2) is equidistant from the point (-1,-2) and...

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  20. The distance between the points (1,3) and (x,7) is 5, find x.

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