Slope-Intercept Form of a Line Exploration

How does the slope, y-intercept, the line, and the equation of the line all connect? Let's find out! Use the sliders to adjust slope and y-intercept. Then look at what happens to the graph and the equation.
What is "slope"? Where can you find slope in the equation of the line? What is the "y-intercept"? Where can you find the y-intercept in the equation of the line?