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Find the slope of the line represented by the equation 2x - 3y + 6 = 0.
Find the slope of the line represented by the equation 2x - 3y + 6 = 0.
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Practice Questions
1 question
Q1
Find the slope of the line represented by the equation 2x - 3y + 6 = 0.
2/3
-2/3
3/2
-3/2
Show Solution
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Rearranging gives y = (2/3)x + 2, so slope = 2/3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the slope of the line represented by the equation 2x - 3y + 6 = 0.
Solution:
Rearranging gives y = (2/3)x + 2, so slope = 2/3.
Steps: 4
Show Steps
Step 1: Start with the equation 2x - 3y + 6 = 0.
Step 2: Rearrange the equation to isolate y. First, move 2x and 6 to the other side: -3y = -2x - 6.
Step 3: Divide every term by -3 to solve for y: y = (2/3)x + 2.
Step 4: Identify the slope from the equation y = mx + b, where m is the slope. Here, m = 2/3.
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