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Perpendicular lines Watch

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    Can you please help me with some of the following questions:
    1.) Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
    2.) Work out the equation of the line which has a gradient of -2 and passes through the point (1,7)
    3.) Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
    Any help would be appreciated, thank you.
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    (Original post by Angelwool1234)
    Can you please help me with some of the following questions:
    1.) Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
    2.) Work out the equation of the line which has a gradient of -2 and passes through the point (1,7)
    3.) Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
    Any help would be appreciated, thank you.
    There are two things you need to be aware of, then these questions are just applications.
    Firstly, do you know the formula y - y1 = m(x - x1), describing a line with known gradient m and point (x1, y1)?
    Secondly, if two lines are perpendicular, the product of their gradients is -1.
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    (Original post by Angelwool1234)
    Can you please help me with some of the following questions:
    1.) Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
    2.) Work out the equation of the line which has a gradient of -2 and passes through the point (1,7)
    3.) Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
    Any help would be appreciated, thank you.
    For the first two questions you use

    y- y1 =m(x-x1)

    So for the first question, m = 2 x1= 1 and y1 = 4.

    Put into equation and simplify.
 
 
 
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