Can you write this equation in point-slope form? y = ½x + 4?

QUESTION POSTED AT 16/04/2020 - 06:04 PM

Answered by admin AT 16/04/2020 - 06:04 PM

Yes.  This equation given:
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   " y = (½)x + 4 " ;  in point-slope form; also known as: "slope-intercept form" ; is:
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    " y = (½)x + 4 " .
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In other words, the equation given is ALREADY written in "point-slope form" ; or, "slope-intercept form".
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Note:   An equation that is written in "point-slope form"
             (or, "slope-intercept form"), is written in the format of:
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" y = mx + b " ;_________________
in which:_________________
"y" is a single, "stand-alone" variable on the "left-hand side of the equation"; "m" is the coefficient of "x"; also:
"m" is the slope of the line; which is what we want to solve for;
"b" is the "y-intercept"; or more precisely, the value of "x"
(that is; the "x-coordinate") of the point at which "y = 0";
that is, the value of "x" ; or the "x-coordinate" of the point at which
the graph of the equation crosses the "x-axis".
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Note that in our given equation, which is written in "point-slope form" (or, "slope-intercept form" — that is:  " y = mx + b "  ;
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which is:  " y = (½)x + 4 " ;
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we have:
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  "y" isolated as "stand-alone" variable on the "left-hand side" of the equation;

  m = ½ ;
  b =  4 .
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