The answer: " y = 5x − 9 " . ___________________________________________ Explanation: ___________________________________________ Given: " 5x <span>− y = 9 " ; ___________________________________________ Write in slope intercept form: ___________________________________________ " y = mx + b " ; ___________________________________________ 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. _____________________________________________ Given: __________________ </span>5x − y = 9 ; <span> __________________ Multiply the entire equation by "-1" ; to get rid of the "</span>− y " ; ____________________________________________________ <span> -1 * {</span>5x − y = 9 } ; ____________________________________________________ -5x + y = -9 ;
↔ Rewrite as: y + (-5x) = -9 ;
↔ Rewrite as: y − 5x = -9 ; ___________________________________________ Add "5x" to both sides of the equation; to isolation "y" on the left-hand side of the equation: ___________________________________________ y − 5x + 5x = -9 + 5x ;
to get: y = -9 + 5x ;
↔ Rewrite as: y = 5x + (-9) ;
↔ Rewrite as: y = 5x − 9 ; _____________________________ This equation is written is "slope-intercept form"; that is: ___________________________ " y = mx + b " ; in which; m = the slope = 5 ; b = the y-intercept = -9 ; _______________________________________________
