SOLUTION: 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 lin

Question 1155614: 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 ).

I am confused on part C and D of this question thank your help
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

a. Find the slope of the line, L1, that goes through the points
(, ) and ( , ).
the slope of the line is:

b. Write the equation of the line, L1. Write in slope intercept form.

plug in a slope and coordinates of one point, ( , )
........solve for

=> equation is:

c. Find the slope of the line, L2, that is perpendicular to L1.
perpendicular lines have slopes negative reciprocal to each other
if the slope of the line L1 is , the slope of the line L2 will be

d. Write the equation of the line, L2, that goes through the point ( , ).
........plug in given point

=> equation is:

Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.

(c) The slope of the line L2 is the negative reciprocal to the slope of the line L1.

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At this site, there is a group of lessons related to this class of problems
    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points (*)
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point
    - Advanced problems on finding equations for straight lines

    - OVERVIEW of lessons related to the slope of a straight line

Learn the subject from these lessons. You will find there all necessary explanations, instructions and examples.

Consider them as your textbook, handbook, tutorials and (free of charge) home teacher.

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