Question 1155610: Given the points ( 4, -3) and ( 2, 2) answer the following.
a. Find the slope of the line, L1, that goes through the points ( 4, -3) and ( 2, 2).
b. Write the equation of the line, L1. Write in slope intercept form.
c. Find the slope of the line, L2, that is perpendicular to L1.
d. Write the equation of the line, L2, that goes through the point ( -3, 5 ).
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website!
Given the points ( 4, -3) and ( 2, 2) answer the following.
a. Find the slope of the line, L1, that goes through the points ( 4, -3) and ( 2, 2).
b. Write the equation of the line, L1. Write in slope intercept form.
c. Find the slope of the line, L2, that is perpendicular to L1.
d. Write the equation of the line, L2, that goes through the point ( -3, 5 ).
The slope of line perpendicular to L1 = 2/5 ( negative reciprocal)
slope = 2/5
(-3,5)
Equation in slope point form
(y-y1) = m(x-x1)
(y-5) = (2/5(x-(-3))
y-5 = (2/5) (x+3)
5(y-5) = 2(x+3)
5y-25 = 2x+6
5y = 2x+6 -25
5y= 2x-19
Answer by ikleyn(53614)  (Show Source):
You can put this solution on YOUR website! .
Given the points ( 4, -3) and ( 2, 2) answer the following.
a. Find the slope of the line, L1, that goes through the points ( 4, -3) and ( 2, 2).
b. Write the equation of the line, L1. Write in slope intercept form.
c. Find the slope of the line, L2, that is perpendicular to L1.
d. Write the equation of the line, L2, that goes through the point ( -3, 5 ).
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Calculations in the post by @mananth are incorrect due to arithmetic error.
I came to bring a correct solution.
The slope of line perpendicular to L1 = 2/5 ( negative reciprocal)
slope = 2/5
(-3,5)
Equation in slope-point form
y-y1 = m(x-x1)
y-5 = (2/5(x-(-3))
y-5 = (2/5) (x+3)
5(y-5) = 2(x+3)
5y-25 = 2x+6
5y = 2x + 6 +25
5y= 2x + 31
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