Ask a New Question
Menu

Y=4x+3

If you changed the 4 to a 2 in the equation what would happen

1 answer

If you change the equation from \( Y = 4x + 3 \) to \( Y = 2x + 3 \), the slope of the line represented by the equation will change.

  1. Slope Change: The slope is the coefficient of \( x \). In the original equation, the slope is 4, and in the modified equation, the slope becomes 2. This means that for every unit increase in \( x \), \( Y \) will increase by 2 instead of 4. The line will be less steep.

  2. Y-Intercept: The y-intercept remains the same in both equations, which is 3. This means both lines will cross the Y-axis at the point (0, 3).

  3. Graphical Representation: Graphically, the line represented by \( Y = 2x + 3 \) will be flatter than the line represented by \( Y = 4x + 3 \).

In summary, changing the slope from 4 to 2 makes the line less steep while keeping the y-intercept the same.