The slope of line f is -1/3. What is an equation of line that is perpendicular to line f?
1 answer:
Answer: 3x + y = 0
Step-by-step explanation:
Ley's put it into slope-intercept form (to graph easier)
3x + y = 0
y = - 3x + 0
(Since we were subtracting 3x from both sides -3x results
So now we have it in slope-intercept form.
The formula for the perpendicular line is negative reciprocal
The negative reciprocal of -1/3 is 3x, so we have the negative reciprocal slope
We will convert option three quickly before I graph
9x - 3y = 27
-3y = -9x + 27
y = 3x - 9
So we have the same slope, which is correct. But wrong y-intercept; it needs to be zero since the slope you gave has no y-intercept, so we assume 0.
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Answer:
The correct option is D.
Step-by-step explanation:
The slope of a line is the change in y with respect to x.
If the slope of a line is undefined it means it is a vertical line and a vertical line can not passes through three quadrants. So, option A is incorrect.
If the slope of a line is 0 it means it is a horizontal line and a horizontal line can not passes through three quadrants. So, option B is incorrect.
If the slope of a line is positive it means the value of y increases as x increases.
Since it is an increasing line, therefore after a certain period both x and y will positive. It means the line will passes through first quadrant. So, option C is incorrect.
If the slope of a line is negative it means the value of y decreases as x increases. It can passes through each of Quadrants II, III, and IV.
Therefore the correct option is D.
