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What information can you gather from the slope-intercept form of an equation?

When you are given an equation in slope-Intercept form, you are given very specific information about what the graph of the equation looks like. From a graph, you can find the slope and the y-intercept and write an equation in this form.

Slope-Intercept Form

y = mx + b

The slope (m) of a line refers to the steepness or slant of the line.

It can be seen as \(\mathsf{ \frac{rise}{run} }\) or \(\mathsf{ \frac{\text{change in y}}{\text{change in x}} }\).

The y-intercept is a point (0, b) where a given line crosses the y-axis

You know how to look at a graph and find the equation. Let's look at how to look at an equation and create a graph.