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If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of t
If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of that line?
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Practice Questions
1 question
Q1
If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of that line?
3/4
-3/4
4/3
-4/3
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The slope of the line is given by -A/B = -3/-4 = 3/4. Parallel lines have the same slope.
Questions & Step-by-step Solutions
1 item
Q
Q: If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of that line?
Solution:
The slope of the line is given by -A/B = -3/-4 = 3/4. Parallel lines have the same slope.
Steps: 6
Show Steps
Step 1: Identify the equation of the line given, which is 3x - 4y + 12 = 0.
Step 2: Rewrite the equation in slope-intercept form (y = mx + b) to find the slope. Start by isolating y.
Step 3: Move 3x and 12 to the other side: -4y = -3x - 12.
Step 4: Divide every term by -4 to solve for y: y = (3/4)x + 3.
Step 5: Identify the slope (m) from the equation y = (3/4)x + 3, which is 3/4.
Step 6: Remember that parallel lines have the same slope, so the slope of the parallel line is also 3/4.
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