In the following problems, we'll use visualizations with sliders (like the one below) to reason about lines and the equations that describe them.

In the visual above, can you imagine what would happen if you were able to keep moving the slider further and further to the right?

The steepness (called the slope) of the two lines are controlled by the sliders below. What would happen to the lines if the sliders had the same value?

Hint: pay attention to the value labels on the sliders; even if the sliders are in the same position, they may not correspond to the same value.

In the equation $y=kx$, any change to the value of $x$ results in a change to the value of $y$.

If adding $3$ to $x$ results in $y$ growing by $12$, what is the value of $k$?

**Is it possible to make every line shown above in the format $y = mx + b ?$**

In these last few questions, we've seen how the equation $y=mx+b$ relates to the graph of a line and particularly how the parameter $m$ describes its slope.

In the course ahead, we'll further investigate this equation and others, developing a deeper intuition about how changing one part of an equation affects the shape of its graph.