Problem

Find an equation of the line having a slope of -1 and point (6,2).
Write the answer in slope-intercept form y=mx+b.
y=

Answer

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Answer

Final Answer: The equation of the line is y=x+4.

Steps

Step 1 :The equation of a line in slope-intercept form is given by y=mx+b, where m is the slope and b is the y-intercept.

Step 2 :We are given that the slope m is -1 and the line passes through the point (6,2). We can substitute these values into the equation to find the y-intercept b.

Step 3 :Substituting the given values, we get b=4.

Step 4 :Now that we have the slope and the y-intercept, we can substitute these values into the slope-intercept form to get the equation of the line.

Step 5 :Substituting m=1 and b=4 into the equation, we get y=1x+4.

Step 6 :Final Answer: The equation of the line is y=x+4.

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