Get clear, concise, and accurate answers to your questions on IDNLearn.com. Ask anything and get well-informed, reliable answers from our knowledgeable community members.
Answer:
The line 5x – 3y = 27 is perpendicular to the line y = -3/5x+1.
Hence, option A is correct.
Step-by-step explanation:
Given the line
y = -3/5x+1
comparing with the slope-intercept form of the line equation
y = mx+b
so the slope = m = -3/5
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -3/5
perpendicular slope = – 1/(-3/5) = 5/3
Thus, the new line will have the slope = 5/3
Now Checking the line given in option A
5x – 3y = 27
writing the line in the slope-intercept form of the line equation
3y = 5x-27
divide both sides by 3
y = 5/3x - 9
here the slope m = 5/3 which is the negative reciprocal of the slope of the other line y = -3/5x+1.
Therefore, we conclude that the line 5x – 3y = 27 is perpendicular to the line y = -3/5x+1.
Hence, option A is correct.