Which is an equation of a line that is perpendicular to the graph of 9x-3y=-10?
A. 3x-y=10
B. 4x+12y=11
C. 5x-15y=6
D. 6x+2y=9
A. 3x-y=10
B. 4x+12y=11
C. 5x-15y=6
D. 6x+2y=9
2 Answers
Explanation:
the gradient of this graph is
to find the gradient of the perpendicular, find the negative reciprocal.
the negative reciprocal is what a number must be multiplied by to make
the negative reciprocal of
this means that the gradient of a graph perpendicular to
for the perpendicular of
this is in the form
B
Explanation:
As they have not defined a point the perpendicular line should pass through we only need one thing to compare against. That is the gradient.
given:
Writing this in the form
Where
Thus the gradient of the line perpendicular to this one is
We just need to hunt for this in the given choices.
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