Chapter 4: Q 172. (page 466)

Find the intercepts for $y = \frac{1}{4} x - 1$

Short Answer

Expert verified

The x-intercept is $(4, 0)$

The y-intercept is $(0, - 1)$

Step by step solution

Step 1. Definition

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Step 2. Calculating x-intercept

To find x-intercept, let $y = 0$

$\Rightarrow 0 = \frac{1}{4} x - 1$

$\Rightarrow x = 4$

So, the x-intercept is $(4, 0)$

Step 3. Calculating y-intercept

To find y-intercept, let $x = 0$

$\Rightarrow y = \frac{1}{4} (0) - 1$

$\Rightarrow y = - 1$

So, the y-intercept is $(0, - 1)$

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Find the intercepts for $y = \frac{1}{4} x - 1$

Short Answer

Step by step solution

Step 1. Definition

Step 2. Calculating x-intercept

Step 3. Calculating y-intercept

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Find the intercepts for $y = \frac{1}{4} x - 1$