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Chapter 2: Problem 5

Slope of the line \(2 x-y=3\) is (a) \(-2\) (b) \(-1 / 2\) (c) \(1 / 2\) (d) 2

Short Answer

Expert verified
The slope of the line \(2x - y = 3\) is \(2\), so, option (d) is the correct one.

Step by step solution

01

Convert Equation to Slope-Intercept Form

Take the given equation \(2x - y = 3\) and subtract \(2x\) from both sides to get \(-y = -2x + 3\). Next, multiply every term by \(-1\), which will give us the equation in slope-intercept form: \(y = 2x - 3\).
02

Identify the Slope

Once the equation is in the form \(y = mx + b\), the coefficient of \(x\) (the part before '\(x\)') represents the slope. Looking at our converted equation \(y = 2x - 3\), we can see that the slope \(m\) is \(2\).

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