Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

157,640 users

Line L passes through the points (1,3) and (-3,4).

0 votes

Line L passes through the points (1,3) and (-3,4). 
a) Fine the slope of line L. 
b) Find the y-intercept of L. 
c) Find the x-intercept of L. 
d) Find b so that line L passes through the point (-4,b).

asked Sep 25, 2018 in ALGEBRA 2 by anonymous

1 Answer

0 votes

a)

Given points are (1,3) and (-3,4)

Let (x1, y1) = (1,3) and (x2, y2) = (-3,4)

Slope of a Line (m)  =  (y2 - y1) / (x2 - x1)

                                =  (4 - 3) / (-3 - 1 )

                                =  - 1 / 4

b)

Point Slope form of line equation  (y - y1)  =  m (x -x1)

Substitute (x1, y1) = (1,3) and m = -1/4 in above equation

(y - 3)  =  -1/4 (x - 1)

4(y - 3)  =  -1 (x - 1)

4y - 12  =  -x + 1

4y + x  =  1 + 12

x + 4y  =  13 ----------> (1)

To find y - intercept Substitute x = 0 in Eq (1)

0 + 4y  =  13

4y  =  13
 
y  =  13/4.
 
c)
 
To find x - intercept Substitute y = 0 in Eq (1)
 
x + 4(0)  =  13
 
x  =  13
 
d)
 
Substitute (x, y) = (-4, b) in Eq (1)
 
-4 + 4(b)  =  13 
 
4b  =  13 + 4
 
4b  =  17
 
b  =  17/4
 
Answer :
 
a) Slope of a Line is -1/4.
 
b)  Y - intercept is 13/4
 
c)  x - intercept is 13.
 
d) The Value of b is 17/4.
answered Sep 27, 2018 by homeworkhelp Mentor

Related questions

...