Chapter 8, Problem 7PFA

To determine

To calculate the slope of the line

Answer to Problem 7PFA

4

Explanation of Solution

Given:

Line: $3y=12x-6$

Concept used:

  $\text{Slope of the line, }y=mx+c$ where m is the slope.

Calculation:

Consider the given equation of the line,

  $\Rightarrow 3y=12x-6$

Simplifying the given line equation to get the standard form of the slope,

Dividing the equation by 3 on both sides,

  $\begin{array}{l}\Rightarrow \frac{3y}{3}=\frac{12x-6}{3}\\ \Rightarrow y=\frac{12x}{3}-\frac{6}{3}\\ \Rightarrow y=4x-2\end{array}$

Therefore, on comparing the above equation with the general equation for slope of a line,

  $m=4.$

Conclusion:

Thus, the slope of the line $3y=12x-6$ is 4.