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Chapter 1: Problem 39

Write the equation in the slopeintercept form and then find the slope and \(y\) -intercept of the corresponding line. $$ x-2 y=0 $$

Short Answer

Expert verified
The equation in slope-intercept form is \(y = \frac{1}{2}x\). The slope (m) is \(\frac{1}{2}\) and the y-intercept (b) is \(0\).

Step by step solution

01

Rewrite the equation in slope-intercept form

Firstly, we need to rewrite the given equation \(x - 2y = 0\) in the form \(y = mx + b\). To do this, we can solve the equation for y: \(x - 2y = 0\) (Given equation) \(-2y = -x\) (Subtract x from both sides) \(y = \frac{1}{2}x\) (Divide by -2) The equation is now in the slope-intercept form: \(y = \frac{1}{2}x\).
02

Identify the slope and the y-intercept

Now that the equation is in slope-intercept form, we can identify the slope (m) and the y-intercept (b). In the equation \(y = \frac{1}{2}x\), we can see that: Slope (m) = \(\frac{1}{2}\) Y-intercept (b) = 0 (Since there is no constant term in the equation) So, the slope of the corresponding line is \(\frac{1}{2}\) and the y-intercept is \(0\).

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