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=−35x+17 y = -\frac{3}{5}x + 17 .

Step 2: Determine the slope and y-intercept
  • The slope (m) is −35-\frac{3}{5}.
  • The y-intercept (b) is 17 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 y = 17 .
  • The slope of −35-\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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