The answer: " y = 5x − 9 " .
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Explanation:
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Given: " 5x − y = 9 " ;
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Write in slope intercept form:
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" y = mx + b " ;
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in which "y" is on the left-hand side of the equation, "on its own" (that is, with no "written coefficient")—other than the "implied coefficient of 1 " ;
"m" is the number, or fraction (positive or negative) representing the slope, if there is one—and "m" is the coefficient of "x" and "b" is the "y-intercept", if there is one—and may be positive or negative.
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Given:
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5x − y = 9 ;
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Multiply the entire equation by "-1" ; to get rid of the "− y " ;
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-1 * {5x − y = 9 } ;
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-5x + y = -9 ;
↔ Rewrite as: y + (-5x) = -9 ;
↔ Rewrite as: y − 5x = -9 ;
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Add "5x" to both sides of the equation; to isolation "y" on the left-hand side of the equation:
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y − 5x + 5x = -9 + 5x ;
to get: y = -9 + 5x ;
↔ Rewrite as: y = 5x + (-9) ;
↔ Rewrite as: y = 5x − 9 ;
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This equation is written is "slope-intercept form"; that is:
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" y = mx + b " ; in which;
m = the slope = 5 ;
b = the y-intercept = -9 ;
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