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Identify the slope and y intercept. Then, graph the linear equation.

`y=-\frac{5}{3}x+4`

Begin with `b,`the y-intercept:

Type the number only. Do NOT enter a coordinate.Move with `m,`the slope:

1 answer

b: 4
m: -\(\frac{5}{3}\)

To graph the linear equation \(y=-\frac{5}{3}x+4\):

  1. Start at the y-intercept (0, 4) on the y-axis.
  2. From that point, use the slope to find another point. The slope \(-\frac{5}{3}\) means you go down 5 units and right 3 units (since the slope is negative).
  3. From (0, 4), moving down 5 units takes you to (3, -1).
  4. Plot that second point (3, -1).
  5. Draw a line through the two points to represent the graph of the linear equation.

This completes your graph!