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Graph the line with the equation y, equals, minus, one fifth, x, plus, 4y=− 
5
1
​
 x+4.


The equation you provided is \( y = -\frac{1}{5}x + 4 \).

Let's break this down:

1. The slope of the line is \( -\frac{1}{5} \). This means that for every 5 units you move to the right along the x-axis, you move 1 unit down along the y-axis.
2. The y-intercept is 4. This means the line crosses the y-axis at \( y = 4 \).

### Steps to graph:
1. Start by plotting the y-intercept at the point \( (0, 4) \).
2. From this point, use the slope \( -\frac{1}{5} \). Move 5 units to the right (positive direction on the x-axis), then 1 unit down (negative direction on the y-axis). This gives you a second point at \( (5, 3) \).
3. You can also move 5 units to the left (negative x-direction) and 1 unit up (positive y-direction) to get another point at \( (-5, 5) \).

Connect these points with a straight line, and you will have the graph of \( y = -\frac{1}{5}x + 4 \).

Would you like me to create a visual representation of this graph for you?

Graph the line with the equation y = -1/5x + 4.

Learn how to graph the linear equation y = -1/5x + 4. This step-by-step guide explains how to determine the slope, find the y-intercept, and plot key points for creating an accurate graph. Suitable for students in Grades 8-10.

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