Questions: Graph the equation. y = (1/5)x - 1

Graph the equation. y = (1/5)x - 1
Transcript text: Graph the equation. \[ y=\frac{1}{5} x-1 \]
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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 the equation $y = \frac{1}{5}x - 1$, the slope is $\frac{1}{5}$ and the y-intercept is -1.

Step 2: Plot the y-intercept

The y-intercept is the point where the line crosses the y-axis. In this case, it's -1. So, plot the point (0, -1) on the graph.

Step 3: Use the slope to find another point

The slope is $\frac{1}{5}$, which means that for every 5 units you move to the right along the x-axis, you move 1 unit up along the y-axis. Starting from the y-intercept (0, -1), move 5 units to the right and 1 unit up. This gives you the point (5, 0). Plot this point.

Step 4: Draw the line

Draw a straight line that passes through the two points (0, -1) and (5, 0). This line represents the graph of the equation $y = \frac{1}{5}x - 1$.

Final Answer: The graph is a straight line passing through the points (0, -1) and (5, 0).

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