SOLUTION: What is the equation for the line that passes thru the points (2,-7) and (-2,4). Answer must be in print slope form

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Question 1131292: What is the equation for the line that passes thru the points (2,-7) and (-2,4). Answer must be in print slope form
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is the equation for the line that passes thru the points (2,-7) and (-2,4). Answer must be in highlight%28cross%28print%29%29 point slope form.
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            Since the post by @josgarithmetic is absurdist,  I came to bring a correct solution.


First, calculate the slope.


    The formula for the slope of a straight line passing through two given points  
 (x%5B1%5D,y%5B1%5D)  and  (x%5B2%5D,y%5B2%5D)  is
        m = %28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29.

    Substitute the given data  x%5B1%5D = 2,  y%5B1%5D = -7,  x%5B2%5D = -2, y%5B2%5D = 4  into the basic formula
        m = %284-%28-7%29%29%2F%28%28-2%29-2%29 = 11%2F%28-4%29 = -11%2F4.


Next, find an equation of the line having the slope  -11%2F4  and passing through the given point (2,-7).


    An equation of a straight line in a coordinate plane which has the slope  m  and passes through the given point  P = (a,b)  is 

        y - b = m*(x-a).     

    Substitute here  m = -11%2F7,  a = 2,  b = -7,  and you will get

        y - (-7) = %28-11%2F4%29%2A%28x-2%29,   or

        
        y + 7 = %28-11%2F4%29%2A%28x-2%29.

    
    It is the equation in the slope-point form, and it is your final ANSWER.

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See the lesson
    - Equation for a straight line in a coordinate plane passing through two given points
in this site.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

What is the equation for the line that passes thru the points (2,-7) and (-2,4). Answer must be in print slope form
highlight_green%28matrix%281%2C3%2C+y+%2B+7%2C+%22=%22%2C+%28-+11%2F4%29%28x+-+2%29%29%29