Question

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).

Answer 1

(1) slope of line joining points ( 1, 3) and (-3,4) = ( 4 - 3)/( -3 -1) = 1/-4 = -1/4

(2) first of all we find equation of line
( y - 3) = -1/4 ( x -1)
4(y -3) +( x -1) = 0
4y +x -13 = 0

y -intersept => x = 0
4y = 13
y = 13/4

(c) x -intersept =>y = 0
x = 13

(d ) (-4, b) put in the equation of line
-4 + 4b -13 = 0
b = 17/4

Answer 2

Answer:

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