SOLUTION: WRITE AN EQUATION OF A LINE THAT PASSES THROUGH THE GIVEN POINT AND IS PERPENDICULAR TO THE GIVEN LINE. (1,-1), Y= 3X+2 PLEASE EXPLAIN AS CLEAR AS POSSIBLE AND PLEASE MAKE

Question 174056: WRITE AN EQUATION OF A LINE THAT PASSES THROUGH THE GIVEN POINT AND IS PERPENDICULAR TO THE GIVEN LINE.
(1,-1), Y= 3X+2

PLEASE EXPLAIN AS CLEAR AS POSSIBLE AND PLEASE MAKE IT SIMPLE FOR UNDERSTANDING
AND ALSO DO NOT RESTATE ANY UNNESESSARY FORMULAS. I AM ONLY AN 8TH GRADER.
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Given Line 1: ---->it follows slope-Intercept form ,
where and .
In Line 1, we designate as .
when 2 lines are perpendicular, the Slope of the other line is "negative reciprocal",
which means . Therefore, to get the slope of Line 2 that is perpendicular----->
Then, thru point (1,-1) where & ,also we use . Via our Slope-Intercept form:

--->, Y-intercept:
Then the eqn of Line 2 according to our Slope-Intercept Form: or STandard Form (Answer)
As we sse the graph:
-------> RED, Line 1 : GREEN, Line 2
Thank you,
Jojo
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