Question 397753
Problem: Given A(1, 5); B(6, 2); C(-6, -4); and D(-3, 1) answer the following.
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1)Find the slope of line AB.
Find the slope using the slope formula: m = {{{(y2-y1)/(x2-x1)}}}
Assign the given points for A & B as follows
x1=1; y1=5
x2=6; y2=2
m = {{{(2-5)/(6-1)}}} =  {{{(-3)/(5)}}} = {{{-3/5}}} is the slope of line AB
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2)Find the length of line CD. (Round to nearest tenth's place.)
Use the dist equation: d = {{{sqrt((x2-x1)^2 + (y2-y1)^2)}}}
Assign the given points for C & D as follows
x1=-6; y1=-4
x2=-3; y2=1
d = {{{sqrt((-3-(-6))^2 + (1-(-4))^2)}}}
Which is
d = {{{sqrt((-3+6)^2 + (1+4)^2)}}} = d = {{{sqrt((3)^2 + (5)^2)}}} = {{{sqrt(9 + 25)}}} = {{{sqrt(34)}}} = 5.8 is the length of CD
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3)Find the midpoint of line BD. (Express in terms of fractions.)
Use the mid=point formula: mp = {{{(x1+x2)/2}}}, {{{(y1+y2)/2)}}}
Assign the BD values as follows
x1=6; y1=2
x2=-3; y2=1
mp = {{{(6-3)/2}}}, {{{(2+1)/2)}}} = {{{3/2}}}, {{{3/2}}} is the mid-point
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4)Find (a) the slope and (b) the y-intercept of the line with the equation 4x+2y=6.
Convert to the slope intercept form y = mx-b 
4x + 2y = 6
2y = -4x + 6
divide both sides by 2
y = -2x + 3
(a) slope: -2
(b) y intercept + 3
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These are the methods for each of these questions, however, there is a lot of
 chances for math errors here.
 Follow this with your own calculations to help you learn and make sure I did 
not make a mistake here somewhere.  CArl