SOLUTION: Here is the question: Write an equation of a line that is perpendicular to y=-3/4x+2 and passes through (-4,1).

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Question 21972: Here is the question: Write an equation of a line that is perpendicular to
y=-3/4x+2 and passes through (-4,1).

Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
To find a perpendicular line, you need the opposite of the reciprocal.
y=%28-3%2F4%29x%2B2
The perpendicular line's slope would then be
highlight%284%2F3%29

Your new line's slope intercept form:
y=%284%2F3%29x%2Bb
To find b, you need to use the given ordered pair.
1=%284%2F3%29%2A%28-4%29%2Bb
1%2B%2816%2F3%29=b
highlight%2819%2F3=b%29
Then put the numbers together
To+find+a+perpendicular+line%2C+you+need+the+opposite+of+the+reciprocal.%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=y=%2528-3%252F4%2529x%252B2%26x=0003+ALIGN=MIDDLE++ALT=%27y=%2528-3%252F4%2529x%252B2%27++%3E%0D%0AThe+perpendicular+line%27s+slope+would+then+be+%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=highlight%25284%252F3%2529%26x=0003+ALIGN=MIDDLE++ALT=%27highlight%25284%252F3%2529%27++%3E%0D%0A%0D%0A%0D%0AYour+new+line%27s+slope+intercept+form%3A%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=y=%25284%252F3%2529x%252Bb%26x=0003+ALIGN=MIDDLE++ALT=%27y=%25284%252F3%2529x%252Bb%27++%3E%0D%0ATo+find+b%2C+you+need+to+use+the+given+ordered+pair.%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=1=%25284%252F3%2529%252A%2528-4%2529%252Bb%26x=0003+ALIGN=MIDDLE++ALT=%271=%25284%252F3%2529%252A%2528-4%2529%252Bb%27++%3E%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=1%252B%252816%252F3%2529=b%26x=0003+ALIGN=MIDDLE++ALT=%271%252B%252816%252F3%2529=b%27++%3E%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=highlight%252819%252F3=b%2529%26x=0003+ALIGN=MIDDLE++ALT=%27highlight%252819%252F3=b%2529%27++%3E%0D%0AThen+put+the+numbers+together%0D%0A%0D%0Ahighlight(y=(4/3)x+19/3
Hope this helps!