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Math Help - A few math problems I need help on.

  1. #1
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    A few math problems I need help on.

    1. Write the equation of the line (in point slope form) that is parallel to the line y=-3x-2 and passes through the point (3,-4)

    2. Write the equation of the line (in slope-intercept form) that passes through the point (-1,-6) and is PERPENDICULAR to the line 3x-2y=5.

    4. A line passes through the points (-2,-1) and (-5,4).

    What is the slope of this line?

    Find the equation of the line on point-slope form.

    Find the equation of the line in slope-intercept form.

    Find the equation of the line in standard form.

    5. A line passes through the point (-6,9) and it is PERPENDICULAR to the line 3y-2x=10. Find the equation of the line in:

    Slope intercept form:

    Point-slope form:

    Standard form:
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  2. #2
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    Quote Originally Posted by SpaceGhost View Post
    1. Write the equation of the line (in point slope form) that is parallel to the line y=-3x-2 and passes through the point (3,-4)

    2. Write the equation of the line (in slope-intercept form) that passes through the point (-1,-6) and is PERPENDICULAR to the line 3x-2y=5.

    4. A line passes through the points (-2,-1) and (-5,4).

    What is the slope of this line?

    Find the equation of the line on point-slope form.

    Find the equation of the line in slope-intercept form.

    Find the equation of the line in standard form.

    5. A line passes through the point (-6,9) and it is PERPENDICULAR to the line 3y-2x=10. Find the equation of the line in:

    Slope intercept form:

    Point-slope form:

    Standard form:
    first, a few questions for you to determine what knowledge you have regarding the basic concepts of linear equations. the answers to all of these should be in your notes or in your textbook.

    1. what is the relationship between the slopes of parallel lines?

    2. what is the relationship between the slopes of perpendicular lines?

    3. what is the formula for calculating slope between two points?

    4. what is the point-slope form of a linear equation?

    5. what is the slope-intercept form of a linear equation?

    6. what is the standard form of a linear equation?
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  3. #3
    Super Member Quacky's Avatar
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    I understand that the above poster intends for you to work them out yourself, or see what you already know, but as you were confused enough to ask on the forum, perhaps a small guide is necessary. Here's number 1. If you don't understand it, then the above post will probably be a lot more helpful.

    1) Write the equation of the line (in point slope form) that is parallel to the line y=-3x-2 and passes through the point (3,-4)
    The lines are parallel so the gradient (-3) is the same.

    The formula for point-slope form is
    y-y1=m(x-x1)
    Where m is the gradient, and (x1,y1) is a point on the line.
    so m=-3 (see above)
    A point on the line is (3,-4) so y1 = -4 and x1 =3
    Substituting this in gives:
    y-(-4)=-3(x-3)
    Which simplifies to give
    y+4=-3(x-3)
    In point slope form, this does not need to be simplified.
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