What? Never covered in class help please.
in Geometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

????????????????? "passing thru" ????????????????

a line GO THRU points

When 2 straight lines, line 1 of slope m and line 2 of slope n, intersect perpendicularly to each other, use the fact that the product of those 2 slopes is always negative 1: m×n=‐1 (m,n≠0).   In other words, m and n are the reciprocal of the other's: m=‐1/n, or n=‐1/m.

Let the given equation of slope m be line 1, and simplify it.    Line 1: 4y=‐x+7 ⇒ y=‐(1/4)x+7/4 ⇒ the slope m=‐1/4 ⇒ the slope of the other line: n=‐1/m=‐1/(‐1/4)=4

Let the line of slope n that passes thru a point (a,b) be line 2.  Line 2 is written as follows: y‐b=n(x‐a). Plug n=4, a=‐5 and b=6 into the equation shown above and simplify it.   y‐6=4(x+5)⇒ y=4x+26

Therefore the equation of the line that passes thru (‐5,6) and is perpendicular to the line 4y=‐x+7 is y=4x+26.



Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
84,070 questions
89,003 answers
6,764 users