Yes. This equation given: ______________________________ " y = (½)x + 4 " ; in point-slope form; also known as: "slope-intercept form" ; is: ______________________________________ " y = (½)x + 4 " . ______________________________________ In other words, the equation given is ALREADY written in "point-slope form" ; or, "slope-intercept form". ______________________________________ Note: An equation that is written in "point-slope form" (or, "slope-intercept form"), is written in the format of: ______________________________________ " 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". ______________________________________ Note that in our given equation, which is written in "point-slope form" (or, "slope-intercept form" — that is: " y = mx + b " ; _______________________________________ which is: " y = (½)x + 4 " ; _______________________________________ we have: _______________________________________ "y" isolated as "stand-alone" variable on the "left-hand side" of the equation;
m = ½ ; b = 4 . _______________________________________
