The slope intercept form is written in the form y = mx + b
Where m is the slope and b is the y intercept.
The reason why it's called slope intercept form is because it's very easy to see the slope (m) and the y intercept (b).
To calculate the slope intercept form, we just plug in some values for x.
Say we have this equation: y = 2x + 3
We see that the slope is 2 and the y intercept is 3.
Plug in some values for x. I'll do 0.
y = 2(0) + 3
The 2 cancels out and we are left 3!
y = 3
We see when x is equal to 0, we get the y intercept.
So, we have the point (0,3). We need at least two points in order to graph a line.
Let's plug in another value. Let's do 1.
y = 2(1) + 3
y = 2 + 3
y = 5
We now have the points (0,3) and (1,5). Just run a line through it to graph it.
Here is a picture I put below to help you.
Sorry if the line isn't exactly straight. It was kinda of hard to draw it.
That line represents the formula y = 2x + 3
If you need anymore help with the slope intercept form or any other problems, private message me the link to your question and to the best of my abilities I will try to answer it.