Questions: Which is the graph of y=-2/3 x+1 ?

Which is the graph of y=-2/3 x+1 ?
Transcript text: Which is the graph of $y=-\frac{2}{3} x+1$ ?
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Solution

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Solution Steps

Step 1: Identify the equation of the line

The given equation is \( y = -\frac{3}{5}x + 17 \).

Step 2: Determine the slope and y-intercept
  • The slope (m) is \(-\frac{3}{5}\).
  • The y-intercept (b) is \( 17 \).
Step 3: Analyze the slope and y-intercept on the graph
  • The y-intercept is where the line crosses the y-axis, which is at \( y = 17 \).
  • The slope of \(-\frac{3}{5}\) means the line goes down 3 units for every 5 units it goes to the right.

Final Answer

The correct graph is Option D.

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