Problem

Find an equation of the line that has a slope of -6 and a $y$ intercept of 2 . Write your answer in the for $y=m x+b$.
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Answer

Final Answer: The equation of the line is \(\boxed{y = -6x + 2}\)

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 :In this case, we are given that the slope \(m\) is -6 and the y-intercept \(b\) is 2.

Step 3 :We can substitute these values into the equation to find the equation of the line.

Step 4 :\(m = -6\)

Step 5 :\(b = 2\)

Step 6 :Substitute \(m\) and \(b\) into the equation, we get \(y = -6x + 2\)

Step 7 :Final Answer: The equation of the line is \(\boxed{y = -6x + 2}\)

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