Chapter 3, Problem 7CR

To determine

To Find: The slope of the line with $x-\text{intercept}-2$ and $y-\text{intercept 8}$

Answer to Problem 7CR

Slope of line is $m=4$ option ‘D’ is correct.

Explanation of Solution

Given information:

  $x-\text{intercept}-2$ and $y-\text{intercept 8}$

Concept and Formula Used:

Slope of line passing through two points is given by $m=\left(\frac{y_2-y_1}{x_2-x_1}\right)$ .

Calculation:

It is given that $x-\text{intercept}-2$ and $y-\text{intercept 8}$

As $x-\text{intercept}-2$ therefore line pass through $\left(-2,0\right)$ & $y-\text{intercept 8}$ therefore line pass through $\left(0,8\right)$

Slope of line is given by

  $\begin{array}{l}m=\left(\frac{y_2-y_1}{x_2-x_1}\right)\\ \text{where }\left(x_1,y_1\right)=\left(-2,0\right)\&\left(x_2,y_2\right)=\left(0,8\right)\\ m=\left(\frac{8-\left(0\right)}{0-\left(-2\right)}\right)\\ m=\frac{8}{2}\\ m=4\end{array}$

Conclusion:

Slope of line is 0 $m=4$ option ‘D’ is correct.