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Sagot :
Given:
The equation of a line is
[tex]y=x-4[/tex]
To find:
The slope and y-intercept of the line.
Solution:
We have,
[tex]y=x-4[/tex] ...(i)
The slope intercept form of a line is
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=1,b=-4[/tex]
Slope of the line = 1
y-intercept of the line = -4
The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).
Therefore, the slope of the line is 1 and the y-intercept is (0,-4).
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