To find the slope and y-intercept from a linear equation, you need to look for a specific form of the equation.

This form is written as:

y = mx + b

In this equation:

• m stands for the slope.
• b is the y-intercept.

Let’s look at an example:

The equation is y = 3x + 2.

• Slope (m): The number in front of x is 3. This tells us that for every 1 unit you move to the right on the x-axis, the line goes up 3 units.

• Y-Intercept (b): The number by itself is 2. This means the line crosses the y-axis at the point (0, 2).

In simple terms:

• Slope: Think of it as "rise over run."
• Y-Intercept: This is where the line crosses the y-axis.