Identify Equation Components: Identify the given equation and its components. The equation provided is y=3−21x. This equation is already in slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept.
Identify Slope: Identify the slope m of the line from the equation. The slope is the coefficient of x, which in this case is −21.
Identify Y-Intercept: Identify the y-intercept b of the line from the equation. The y-intercept is the constant term without x, which in this case is 3.
Confirm Correct Form: Confirm that the equation is in the correct form and that we have correctly identified the slope and y-intercept. The equation y=3−21x is in the form y=mx+b with m=−21 and b=3.
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