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State the equation of the line which has...

State the equation of the line which has the y-intercept
2 and slope 7

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To find the equation of the line with a given y-intercept and slope, we can use the slope-intercept form of a linear equation, which is: \[ y = mx + c \] where: - \( m \) is the slope of the line, - \( c \) is the y-intercept. ### Step-by-Step Solution: 1. **Identify the given values**: - The slope \( m = 7 \) - The y-intercept \( c = 2 \) 2. **Write the slope-intercept form**: - The general form of the equation is \( y = mx + c \). 3. **Substitute the values of \( m \) and \( c \)**: - Replace \( m \) with \( 7 \) and \( c \) with \( 2 \) in the equation. - This gives us: \[ y = 7x + 2 \] 4. **State the final equation**: - The equation of the line is: \[ y = 7x + 2 \] ### Final Answer: The equation of the line is \( y = 7x + 2 \).
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