Hello, Aubrey,
A perpendicular line will have a slope that is the negative reciprocal of the line in question. For an equation in the form of y = mx + b, a perpendicular line would have -(1/m) as its slope. y = -(1/m) + b. Rearrange the equation to y = -(3/4)x + 12 and a perpendicular line would be y = (4/3)x + 12. I don't see any other condition set for this new line, such as it also goes through point (x,y), so we can leave the y-intercept of 12 as it is.
Bob
Conrad D.
Sir bob you forgot to divide 12 by 4 because if you divide - 3x by 4 you should divide 12 by 4 also so the line equation should be y = -3/4x + 3
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10/29/20
Conrad D.
Sir bob I noticed that you did not divide 12 by 4, if you divide 3x by 4 we should also divide 12 by 4 so that the line equation would be y = -(3/4x ) + 3.
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10/29/20
Robert S.
tutor
Thanks, Conrad - you are correct. Aubrey - please see what Conrad points out. It turns out (by accident) that this doesn't make a difference for your final answer. While I should have said y = -(3/4)x + 3, the equation y = -(3/4)x + 12 is also a valid answer, since we have no other data from which we can calculate a value for b. Therefore, any b will satisfy the requirement. Sorry anyhow - Bob
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10/29/20
Conrad D.
Bob you forgot to divide 12 by 4 it should be -3/4x + 3 if you divide 3x by 4 you should divide 12 by 4 also10/29/20