SAT Math · Linear equations in two variables · easy

What is the slope of the line 4x - 2y = 10?

What is the slope of the line 4x−2y=104x - 2y = 10?

Answer and explanation

Answer: D: 2

Rewrite the equation in slope-intercept form by solving for yy. Starting with 4x−2y=104x - 2y = 10, subtract 4x4x: −2y=−4x+10-2y = -4x + 10. Divide everything by −2-2: y=2x−5y = 2x - 5. The slope is the coefficient of xx, which is 2, choice D. Choice A (4) is the xx-coefficient in standard form, which is not the slope unless yy's coefficient is 1. Choice B (−2-2) is the yy-coefficient. Choice C (−5-5) is the yy-intercept. Another shortcut: in Ax+By=CAx + By = C, the slope is −AB=−4−2=2-\frac{A}{B} = -\frac{4}{-2} = 2.

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