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Find the slope and y - intercept of the ...

Find the slope and y - intercept of the following lines.
`y=3x+4`

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To find the slope and y-intercept of the line given by the equation \( y = 3x + 4 \), we can follow these steps: ### Step 1: Identify the Standard Form The equation of a straight line can be expressed in the slope-intercept form, which is: \[ y = mx + c \] where: - \( m \) is the slope of the line, - \( c \) is the y-intercept. ### Step 2: Compare with the Given Equation We have the equation: \[ y = 3x + 4 \] ### Step 3: Identify the Slope In the equation \( y = 3x + 4 \), the coefficient of \( x \) (which is \( 3 \)) represents the slope \( m \). Thus, we can conclude: \[ m = 3 \] ### Step 4: Identify the Y-Intercept The constant term (which is \( 4 \)) represents the y-intercept \( c \). Thus, we can conclude: \[ c = 4 \] ### Final Answer - The slope of the line is \( 3 \). - The y-intercept of the line is \( 4 \). ---
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