SAT Math · Linear equations in two variables · easy

What is the slope of the line 5x - 3y = 21?

What is the slope of the line 5x−3y=215x - 3y = 21?

Answer and explanation

Answer: B: 5/3

Solve for yy to read the slope. From 5x−3y=215x - 3y = 21, subtract 5x5x: −3y=−5x+21-3y = -5x + 21. Divide by −3-3: y=53x−7y = \frac{5}{3}x - 7. The slope is 53\frac{5}{3}, choice B. Using the shortcut for Ax+By=CAx + By = C, the slope is −AB=−5−3=53-\frac{A}{B} = -\frac{5}{-3} = \frac{5}{3}. Choice A (−53-\frac{5}{3}) forgets that dividing by −3-3 changes the sign of every term. Choice C (35\frac{3}{5}) inverts the ratio. Choice D (21) is the constant on the right side of the equation, not related to the slope.

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