Slope and y-intercept are really important when we work with linear equations. We usually write these equations like this:

$y = mx + b$

Let’s break it down:

• Slope ($m$): This shows how steep the line is. If $x$ goes up by one unit, $y$ changes by $m$ units.

  • A positive slope means the line is going up.
  • A negative slope means the line is going down.

• Y-Intercept ($b$): This is where the line crosses the y-axis. The y-axis is the line that goes up and down on a graph.

  • The y-intercept tells us where the line starts when $x$ is 0.

Quick Facts:

• You can find the slope using two points, $(x_1, y_1)$ and $(x_2, y_2)$, with this formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

• To find the y-intercept, just look at the equation when $x = 0$.

Knowing both the slope and y-intercept helps us draw graphs, see patterns, and solve everyday problems.