Problem

Find the slope-intercept form of the line with the given slope and $y$-intercept.
\[
\text { Slope }=9 ; y \text {-intercept }=-2
\]
What is the equation of the line?

Answer

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Answer

Final Answer: The equation of the line is \(\boxed{y = 9x - 2}\).

Steps

Step 1 :Given that the slope-intercept form of a line is given by the equation \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 2 :In this case, we are given that the slope \(m = 9\) and the y-intercept \(b = -2\).

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

Step 4 :Substituting the values we get the equation as \(y = 9x - 2\).

Step 5 :Final Answer: The equation of the line is \(\boxed{y = 9x - 2}\).

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