Chapter 8.3, Problem 1OE

To determine

To Explain: The lines with positive slope,

  

Answer to Problem 1OE

Line $a,d$ has positive slope.

Explanation of Solution

Given information:

The lines with a positive slope.

Formula used:

For the positive slope, if the equation of slope is $y=mx+c$ then the value of $m$ is called the slope.

The positive slope means when going from left to right or can say that $m\succ 0$ .

Consider the lines:

A line with a positive slope $m\succ 0$ as the line above, rises from left to right.

For example:

The points are: $x_1,x_2,y_1,y_2$ are as:

  $\left(2,-3\right),\left(2,1\right)$

The formula to finding a slope is:

  $\begin{array}{c}m=\frac{y_2-y_1}{x_2-x_1}\\ =\frac{1-\left(-3\right)}{2-\left(-2\right)}\\ =\frac{1+3}{2+2}\\ =\frac{4}{4}\\ =1\end{array}$

The slope of the line is positive that means $m\succ 0$ .

So line $a$ and $d$ as the lines rises from left to right.

Thus, the lines $a$ and d has positive slope.