Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

draw a line representing the ise\ and a line representing the un\ of th…

Question

draw a line representing the
ise\ and a line representing the
un\ of the line. state the slope of the line in simplest form. click twice to plot each segment. click a segment to delete it.

Explanation:

Step1: Select two points on the line

Let's take two points, say $(0,0)$ and $(2, - 2)$.

Step2: Calculate rise and run

The rise is the change in the $y$ - values. For points $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(2,-2)$, rise $=y_2 - y_1=-2 - 0=-2$. The run is the change in the $x$ - values, run $=x_2 - x_1=2 - 0 = 2$.

Step3: Calculate the slope

The slope $m$ of a line is given by the formula $m=\frac{\text{rise}}{\text{run}}$. Substituting the values of rise and run, we get $m=\frac{-2}{2}=-1$.

Answer:

The slope of the line is $- 1$.
(Note: To draw the "rise" and "run" lines: From the point $(0,0)$ to $(2,-2)$, the "run" line would be a horizontal line segment from $(0,0)$ to $(2,0)$ and the "rise" line would be a vertical line - segment from $(2,0)$ to $(2,-2)$.)