To find the slope-intercept form of a line, which is \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y-intercept), we need more information than just a single point (in this case, \( x = -1 \) and \( y = 1 \)). We need the slope \( m \) to create the equation of the line.
If you have the slope, you can substitute the point into the equation to find \( b \):
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Start with the slope-intercept form:
\( y = mx + b \) -
Substitute the values of \( x \) and \( y \): \( 1 = m(-1) + b \)
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Rearranging gives: \( b = 1 + m \)
With the value of \( m \), you can fully determine the equation of the line. If you don't have the slope yet, please provide it, or give me another condition to determine it!