What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)? 3x + 5y = −9 3x + 5y = 9 5x − 3y = −15 5x − 3y = 15

5x - 3y = 15

Step-by-step explanation:

3x + 5y = −9 can be solved for y (and thus for the slope explicitly):

5y = -3x - 9, or y = (-3/5)x - 9/5.  The slope of the given line is -3/5.  The slope of a line perpendicular to the given line is the negative reciprocal of this -3/5, which is 5/3.  Substituting 3 for x and 0 for y, our slope-intercept  equation y = mx + b becomes 0 = (5/3)(3) + b, which leads to b = -5:

y = (5/3)x - 5.  We must put this back into standard form, starting by multiplying all three terms by 3:

3y = 5x - 15, or -5x + 3y = -15.  This is equivalent to 5x - 3y = 15 (which is the last answer choice).

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

there should be an link icon on the bottom of the text box you get. it looks like a paperclip!