Chapter 4, Problem 15CR

To determine

To Find: The slope of the line that is parallel to line $3x-4y=5$

Answer to Problem 15CR

The slope of the parallel line is $\frac{3}{4}$ .

Explanation of Solution

Given information:

Line is parallel to line $3x-4y=5$

Concept and Formula Used:

Slope intercept form $y=mx+c$ where $m$ is slope and $c$ is intercept.

Parallellines: If lines are parallel then the slopes of lines are equal

Calculation:

The required line is parallel to

  $3x-4y=5$

Now, find the slope of given line by comparing it with $y=mx+c$ .

The slope of line $3x-4y=5\Rightarrow 4y=3x-5\Rightarrow y=\frac{3}{4}x-\frac{5}{4}$ is $m=\frac{3}{4}$ .

Let the slope of the line be ‘m’. As the line is parallel to $3x-4y=5$

Therefore, the slope of line is equal to slope of $3x-4y=5$ i.e. $m=\frac{3}{4}$

Conclusion:

The slope of the parallel line is $\frac{3}{4}$ .