anonymous
  • anonymous
help me plz Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = - x + 5
Mathematics
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SOLVED
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chestercat
  • chestercat
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cwrw238
  • cwrw238
standard form of slope intercept line is y = mx + b where m = slope and b = y-intercept
cwrw238
  • cwrw238
now as its parallel to y = - x + 5 the lines slope is the same so what is the slope of y = -x + 5 - compare it with the standard equation y = mx + b
anonymous
  • anonymous
A.y = -2x + 2 B.y = 2x - 14 C.y = x - 8 D.y = - x - 4

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cwrw238
  • cwrw238
m is the slope
anonymous
  • anonymous
is it D
cwrw238
  • cwrw238
i dont know - but im trying to guide you through solving the problem |dw:1437850934578:dw|
cwrw238
  • cwrw238
look at the drawing - what is the value of m ?
anonymous
  • anonymous
-1x wich is -x
cwrw238
  • cwrw238
-1 is the slope so we can now write the equation in the for y = -x + b now we have to find the value of b we know that the point (4,-6) lies on the line which means that x = 4 and y=-6 satisfies the equation so to find the value of b we plug in these values -6 = -4 + b
cwrw238
  • cwrw238
so what is the value of b?
cwrw238
  • cwrw238
b = -6 + 4 = ?
cwrw238
  • cwrw238
?
cwrw238
  • cwrw238
b = -2 so the equation is y = -x - 2
cwrw238
  • cwrw238
which is not one of the choices but its correct

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