Which of the following equations describes the line shown below?
The equation of the line is,
y = mx+b
the slope m
m = (y2-y1)/(x2-x1)
point 1 (x1, y1) = (-4,4)
point 2 (x2, y2) = (2,1)
Replacing
m = (1-4)/(2-(-4))
m = (-3)/(6)
m= - 1/2
d and f are discarded
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The equation of the line can also be expressed as,
point 1 (x1, y1) = (-4,4)
(y-y1) = ( - 1/2)( x- x1)
(y-4) = ( - 1/2)( x+4)
point 2 (x2, y2) = (2,1)
(y-y2) = ( - 1/2)( x- x2)
(y-2) = ( - 1/2)( x- 1)
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The answer is b (y-4) = ( - 1/2)( x+4)