Problem

Q Question 7

Find the equation of the line with Slope $=1$ and passing through $(-7,-8)$. Write your equation in the form $y=m x+b$.
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\(\boxed{y = x - 1}\)

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 \(m = 1\) and the line passes through the point \((-7,-8)\).

Step 3 :We can substitute these values into the equation to find the y-intercept \(b\).

Step 4 :Given that \(m = 1\) and \(b = -1\), the final equation of the line is \(y = x - 1\).

Step 5 :\(\boxed{y = x - 1}\)

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