This table gives a few (x,y) left pairs of a line in the coordinate plane. x y -56 66 -42 58 -28 50 What is the y-intercept of the line?
Answers
Given : (x,y) pairs of a line in the coordinate plane.
. x y -56 66 -42 58 -28 50
To Find : What is the y-intercept of the line?
Solution:
x y
-56 66
-42 58
-28 50
(58 - 66)/(-42 - (-56))
= -8/14
= -4/7
(50 - 58)/(-28 -(-42))
= -8/14
= -4/7
Hence it forms a linear equation with a slope = - 4/7
=> y = -4x/7 + c
x = -28 , y = 50
=> 50 = -4(-28)/7 + c
=> 50 = 16 + c
=> c = 34
y = -4x/7 + 34
x = 0
=> y = 34
y intercept of line is 34
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