SAT Math · Linear equations in two variables · easy

What is the slope of the line 7x - 2y = 18?

What is the slope of the line 7x−2y=187x - 2y = 18?

Answer and explanation

Answer: C: 7/2

Solve for yy: from 7x−2y=187x - 2y = 18, subtract 7x7x to get −2y=−7x+18-2y = -7x + 18, then divide by −2-2: y=72x−9y = \frac{7}{2}x - 9. The slope is 72\frac{7}{2}, choice C. The shortcut for Ax+By=CAx + By = C is slope =−AB=−7−2=72= -\frac{A}{B} = -\frac{7}{-2} = \frac{7}{2}. Choice A (−72-\frac{7}{2}) forgets that dividing by −2-2 flips every sign. Choice B (27\frac{2}{7}) inverts the fraction. Choice D (18) is the constant on the right side, which relates to the intercept, not the slope.

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