Question

Which of the following slopes of a line passes through points (3, 1) and (o, 1)?

Answer 1

Step-by-step explanation:

I think maybe it is -3

make me as branliest

Answer 2

Answer:

The slope of the line is 0.

Step-by-step explanation:

Let the coordinates of point P be ($x_{1}, \ y_{1}$) and point Q be ($x_{2}, \ y_{2}$), then the slope of the line passing through both points P and Q is

                                        $\text{slope} \ = \ \displaystyle\frac{y_{1} \ - \ y_2}{x_{1} \ - \ x_{2}}$.

Therefore, the slope of the line that passes through the points (3, 1) and (0, 1) is

                                         $\text{slope} \ = \ \displaystyle\frac{1 \ - \ 1}{3 \ - \ 0}$

                                         $\text{slope} \ = \ \displaystyle\frac{0}{3}$

                                         $\text{slope} \ = \ 0$.

Notice that both points, in this case, have the same y-coordinate which is 1. This indicates that the line is a horizontal line parallel to the x-axis which has a slope of 0.

If the two points in which a line passes through share the same x-coordinate, the resulting line is a vertical line parallel to the y-axis which has an undefined slope since

                                          $\text{slope} \ = \ \displaystyle\frac{\text{number}}{0}$,

where the x-coordinate of both points cancels out to give a zero in the denominator. (Remember you cannot divide a number by zero!)