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What is the slope of the line that passes through the points (6,5) and (13,12)? Write your answer in the simplest form.

Sagot :

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Answer:

y = x-1

Step-by-step explanation:

The general equation of a line is y= mx+ b , where m is the slope of the line , and b is the y-intercept ( where the line intersects  the y-axis)

For the points (x1 = 6, y1 = 5) and ( x2 = 13, y2 = 12) that are on the line give the

slope m = (y2-y1) / (x2-x1) =  (12-5) / (13-6)  = 7/ 7  = 1

Now the equation  of the line became y = x+b , because the slope m= 1

To find b we have to substitute x and y of any of the 2 given points in our equation.

The point ( x= 6, y = 5) gives the equation 5 = 6 +b ; 5-6 = b; -1 = b

Now the equation  of the line became y = x -1 , because the y- intercept, b=-1

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