QUESTION IMAGE
Question
sketch an image or paste a screenshot of your graph and show the following key features: circle the x - intercept. label the starting value. show the growth value using a slope triangle. is the graph increasing or decreasing? show your thinking on the graph.
Step1: Find x - intercept
Set y = 0 in the equation of the line (not given here, but in general, solve for x when y = 0) and mark the point on the x - axis with a circle.
Step2: Identify starting value
The starting value is the y - intercept. Find the point where the line crosses the y - axis and label it.
Step3: Draw slope triangle
Pick two points (x1,y1) and (x2,y2) on the line. Draw a right - triangle with the horizontal side (run) and vertical side (rise) between the two points. The ratio $\frac{y2 - y1}{x2 - x1}$ is the slope which represents the growth value.
Step4: Determine if increasing or decreasing
If the slope (rise over run) is positive, the graph is increasing. If the slope is negative, the graph is decreasing. Indicate this on the graph by an arrow showing the direction of the line.
Since no specific equation is given, we can't provide a numerical answer. But the general steps to sketch the graph with the required features are as above.
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Follow the steps above to sketch the graph and show the key features.