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Chapter 1: Problem 23

Find the \(x\) - and \(y\) -intercepts of the graph of the equation. $$y=5 x-6$$

Short Answer

Expert verified
The x-intercept is \(x = 6 / 5\) and the y-intercept is \(y = -6\).

Step by step solution

01

Find the x-intercept

The x-intercept is the value of \(x\) where \(y = 0\). In order to find the x-intercept, plug in \(0\) for \(y\) in the equation and solve for \(x\).\nSo the equation is then: \(0 = 5x - 6\).\nAfter re-arranging for \(x\), the equation becomes: \(x = 6 / 5\).
02

Find the y-intercept

The y-intercept is the value of \(y\) where \(x = 0\). In order to find the y-intercept, plug in \(0\) for \(x\) in the equation and solve for \(y\). \nSo the equation is then: \(y = 5(0) - 6\). \nAfter simplifying, the equation becomes: \(y = -6\).

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