The equation in slope-intercept form is typically written as:
\[ y = mx + b \]
where \( m \) represents the slope and \( b \) represents the y-intercept.
In your provided equations:
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y = 4x + 6: This is in slope-intercept form with \( m = 4 \) and \( b = 6 \).
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x = 6: This is a vertical line and not in slope-intercept form.
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2x + 5y = -10: This is in standard form and can be converted into slope-intercept form by isolating \( y \). Rearranging gives \( y = -\frac{2}{5}x - 2 \).
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x = 6y - 2: This can be rearranged to find \( y \) in terms of \( x \). Solving for \( y \) gives \( y = \frac{1}{6}x + \frac{1}{3} \), which is in slope-intercept form.
So, the only equation originally in slope-intercept form is the first one:
y = 4x + 6.