Chapter 6, Problem 4PFA

To determine

To find: The correct answer out of the four given answers of the given problem.

Answer to Problem 4PFA

The option D is correct.

Explanation of Solution

Given information:

The problem set up: If $\left(-3h,2h\right)$ and $\left(2h,6h\right)$ are two points on the graph of a line and h is not equal to zero, what is the slope of the line.

  $\text{A}:-8$$\text{B}:-4$$\text{C}:3/5$$\text{D}:4/5$

Formula used:

The slope of a line joining points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ is given by $m=\frac{y_2-y_1}{x_2-x_1}$ .

Calculations:

The slope of line passing through points $\left(-3h,2h\right)$ and $\left(2h,6h\right)$ is $m=\frac{6h-2h}{2h-(-3h)}=\frac{4h}{5h}=\frac{4}{5}$ .

Thus, option D is correct.

Conclusion:

The slope of line passing through points $\left(-3h,2h\right)$ and $\left(2h,6h\right)$ is $\frac{4}{5}$ , so option D is correct.