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What is the slope of the line perpendicular to the line 4x - 5y = 10? (2022)
What is the slope of the line perpendicular to the line 4x - 5y = 10? (2022)
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Practice Questions
1 question
Q1
What is the slope of the line perpendicular to the line 4x - 5y = 10? (2022)
5/4
-4/5
4/5
-5/4
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The slope of the line is 4/5, so the slope of the perpendicular line is -5/4.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the slope of the line perpendicular to the line 4x - 5y = 10? (2022)
Solution:
The slope of the line is 4/5, so the slope of the perpendicular line is -5/4.
Steps: 7
Show Steps
Step 1: Start with the equation of the line: 4x - 5y = 10.
Step 2: Rearrange the equation to the slope-intercept form (y = mx + b), where m is the slope.
Step 3: Move 4x to the other side: -5y = -4x + 10.
Step 4: Divide every term by -5 to solve for y: y = (4/5)x - 2.
Step 5: Identify the slope (m) of the original line, which is 4/5.
Step 6: To find the slope of the line perpendicular to this line, take the negative reciprocal of 4/5.
Step 7: The negative reciprocal of 4/5 is -5/4.
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