For example: y = 2x + 3 is in slope intercept form.
The number in the m position (2) is the slope and it is a positive number so the slope of the line will be a positive slope. The number in the b position (3) is the y-intercept which means this is where the graphed line will cross the y-axis.
When a linear equation is not in Slope Intercept Form, you must use your algebra skills to change it into the correct form. For example: 2y + 6 = 2x
To change the equation into slope intercept form you must first subtract 6 on both sides of the equation. By doing this, you get 2y = 2x – 6. We are almost there. We now need to isolate y on the left side of the equation. We do that by dividing both sides by 2. Remember to divide everything on the right side by 2. This gives us
y = x – 3. We now have the equation in slope intercept form and we can move on to Step 2.