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What is an equation of the line that passes through the points (7,6) and (-2,-3)?​

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BrokeNCTzen
Answer: y=x-1


Explanation: When creating an equation in slope-intercept form (y=mx+b) where m=slope and b=y-intercept, you need the slope and the y-intercept in order to complete the equation. To find the slope given 2 points, you can use this formula:
(y2-y1)/(x2-x1). When you insert the X and Y values of the 2 points given into the equation, you get:

6-(-3)/7-(-2) or ((-3)-6)/((-2)-7)
=9/9 or (-9)/(-9)
=1

Now that you have the value of m, your equation becomes: y=x+b (the 1 is redundant because 1*X=X). Now, all you need to do is find b. To find the y-intercept, you can the X and Y values of either one of the points given into your current equation. I’ll use the first point as an example:

6=7+b
b=-1

Now that you have the value of b, you can substitute that into your final equation: y=x-1.



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