Questions: Graph the equation. y=1/9 x Use the graphing tool to graph the equation. Click to enlarge graph

Graph the equation. y=1/9 x Use the graphing tool to graph the equation. Click to enlarge graph
Transcript text: Graph the equation. \[ y=\frac{1}{9} x \] Use the graphing tool to graph the equation. Click to enlarge graph
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Solution

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Solution Steps

Step 1: Identify the slope and y-intercept.

The equation is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this case, the slope (m) is 1/9 and the y-intercept (b) is 0.

Step 2: Plot the y-intercept.

Since the y-intercept is 0, plot a point at the origin (0,0).

Step 3: Use the slope to find another point.

The slope is 1/9, meaning rise over run. From the y-intercept (0,0), move 1 unit up (rise) and 9 units to the right (run). This gives you the point (9,1). Alternatively, you can move 1 unit down and 9 units to the left giving you the point (-9, -1).

Final Answer

Draw a straight line through the points (0,0) and (9,1) or (0,0) and (-9,-1). This is the graph of the equation y = (1/9)x. The graph should look like a diagonal line passing through the origin with a shallow positive slope.

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