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\( \mid<\quad \) Write an equation of the line with the given slope, \( m \), and \( y \)-intercept \( (0, b) \)

Ask by Stuart Goodwin. in the United States
Mar 11,2025

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The equation of the line is \( y = mx + b \).

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To write an equation of a line, you can use the slope-intercept form, which is expressed as \( y = mx + b \). Here, \( m \) represents the slope of the line, and \( b \) represents the y-intercept. Simply plug in your given slope and y-intercept into this equation to create your specific line equation! For example, if \( m = 2 \) and \( b = 3 \), the equation would be \( y = 2x + 3 \). When writing your equation, one common mistake is mixing up the coordinates. Remember that the y-intercept is always in the form \( (0, b) \), meaning the x-coordinate is 0. Just ensure you keep track of your \( m \) and \( b \) correctly, and you’ll breeze through creating line equations with ease!

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