SOLUTION: Hello! I have a few questions here which all relate to one another and I am having equal difficulty in completing. I will appreciate any and all answers. Problem: Given A(1, 5); B

Algebra ->  Linear-equations -> SOLUTION: Hello! I have a few questions here which all relate to one another and I am having equal difficulty in completing. I will appreciate any and all answers. Problem: Given A(1, 5); B      Log On


   

Question 397753: Hello! I have a few questions here which all relate to one another and I am having equal difficulty in completing. I will appreciate any and all answers.
Problem: Given A(1, 5); B(6, 2); C(-6, -4); and D(-3, 1) answer the following.
1)Find the slope of line AB.
2)Find the length of line CD. (Round to nearest tenth's place.)
3)Find the midpoint of line BD. (Express in terms of fractions.)
4)Find (a) the slope and (b) the y-intercept of the line with the equation 4x+2y=6.
Thank you so much!!!! I eagerly await your solution. Thanks in advance for all
of your help! :D
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Problem: Given A(1, 5); B(6, 2); C(-6, -4); and D(-3, 1) answer the following.
:
1)Find the slope of line AB.
Find the slope using the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
Assign the given points for A & B as follows
x1=1; y1=5
x2=6; y2=2
m = %282-5%29%2F%286-1%29 = %28-3%29%2F%285%29 = -3%2F5 is the slope of line AB
:
2)Find the length of line CD. (Round to nearest tenth's place.)
Use the dist equation: d = sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29
Assign the given points for C & D as follows
x1=-6; y1=-4
x2=-3; y2=1
d = sqrt%28%28-3-%28-6%29%29%5E2+%2B+%281-%28-4%29%29%5E2%29
Which is
d = sqrt%28%28-3%2B6%29%5E2+%2B+%281%2B4%29%5E2%29 = d = sqrt%28%283%29%5E2+%2B+%285%29%5E2%29 = sqrt%289+%2B+25%29 = sqrt%2834%29 = 5.8 is the length of CD
:
3)Find the midpoint of line BD. (Express in terms of fractions.)
Use the mid=point formula: mp = %28x1%2Bx2%29%2F2, %28y1%2By2%29%2F2%29
Assign the BD values as follows
x1=6; y1=2
x2=-3; y2=1
mp = %286-3%29%2F2, %282%2B1%29%2F2%29 = 3%2F2, 3%2F2 is the mid-point
:
;
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
:
:
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