When we look at linear equations, the slope is super important. It tells us how the line is positioned on a graph.

1. Positive Slopes:

   • A line with a positive slope, like the equation $y = 2x + 1$, goes up as you move from left to right.
   • This means when the value of $x$ gets bigger, the value of $y$ also gets bigger.

2. Negative Slopes:

   • On the other hand, a negative slope makes the line go down from left to right.
   • For example, in the equation $y = -3x + 4$, as $x$ increases, $y$ gets smaller.

3. Impact of the Intercept:

   • The y-intercept is where the line touches the y-axis, and it helps move the line up or down.
   • For example, if we change the y-intercept from 1 to -2 in the equation $y = 2x$, the line moves up or down but still keeps the same slope.

By understanding these ideas, you can draw linear equations on a graph more easily!