Asked by Mercedes
Write an equation for a line passing through the points (-1,8 and (0,5)
Answers
Answered by
Bosnian
The two-point form of a straight line:
y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )
In this case:
x1 = 1 , y1 = - 8
x2 = 0 , y2 = 5
y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )
y - ( - 8 ) = [ 5 - ( - 8 ) ] ∙ ( x - 1 ) / ( 0 - 1 )
y + 8 = ( 5 + 8 ) ∙ ( x - 1 ) / - 1
y + 8 = 13 ∙ ( x - 1 ) / - 1
y + 8 = - 13 ∙ ( x - 1 )
y + 8 = - 13 ∙ x - 13 ∙ ( -1 )
y + 8 = - 13 x + 13
Subtract 8 to both sides
y = - 13 x + 5
y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )
In this case:
x1 = 1 , y1 = - 8
x2 = 0 , y2 = 5
y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )
y - ( - 8 ) = [ 5 - ( - 8 ) ] ∙ ( x - 1 ) / ( 0 - 1 )
y + 8 = ( 5 + 8 ) ∙ ( x - 1 ) / - 1
y + 8 = 13 ∙ ( x - 1 ) / - 1
y + 8 = - 13 ∙ ( x - 1 )
y + 8 = - 13 ∙ x - 13 ∙ ( -1 )
y + 8 = - 13 x + 13
Subtract 8 to both sides
y = - 13 x + 5
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