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Graphing Linear Functions in Slope-Intercept Form

Graphing Linear Functions in Slope-Intercept Form 1.8 - Solution

arrow_back Return to Graphing Linear Functions in Slope-Intercept Form

Let's recall the slope-intercept form of a line. Here, represents the slope and the intercept. Let's identify the slope and the intercept of the line in the graph.

Finding the -intercept

Consider the given graph.

We can see that the function intercepts the axis at the point This means the intercept is

Finding the Slope

To find the slope, we will trace along the line of the given graph until we find a lattice point, which is a point that lies perfectly on the grid lines. By doing this, we will be able to identify the slope using rise and run of the graph.

Here we have identified as our second point. From the intercept to this point, we move steps horizontally in the positive direction. Then, we move steps vertically in the negative direction.

Writing the Equation

Now that we have the slope and the intercept, we can write our final equation. The correct choice is D.