Chapter 1.1, Problem 42E

To determine

Calculate the slope and y − intercept (if possible) for the linear equation. Also describe the graph

Answer to Problem 42E

The slope of the equation isundefined and there is no y- intercept.

Explanation of Solution

Given:

It is given in the question that the equation is $2x-5=0$ .

Concept Used:

In this we have to keep some concept in mind:

(i) The graph of $y=mx+b$ is a straight line ,in which the slope is m and the y − intercept is $(0,b)$ .

(ii)Slope intercept form : $y=mx+b$

(iii) $m=\frac{rise}{sun}$

  (a)If $m>0$ ,the line rises from left to right.

  (b)If $m=0$ ,the line is horizontal.

  (c)If $m<0$ ,the line falls from left to right.

  (d)If m is undefined, the line is vertical.

Calculation: The given equation is, $2x-5=0$ .

  $\begin{array}{l}2x-5=0(slovingforx)\\ 2x=5\\ x=\frac{5}{2}\end{array}$

Here it has seen that ,m is undefined and there is no y- intersept.

  $x=\frac{5}{2}$ would be a vertical line and it will not passing the vertical line ,but would pass the horizontal line test.

Conclusion:

The slope is undefined and there is no y- intersept.