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: Identify two points on the line

We can use the y-intercept $(0, -2)$ and the x-intercept $(10, 0)$.

Step2: Calculate the rise

Rise is the change in $y$-values: $0 - (-2) = 2$

Step3: Calculate the run

Run is the change in $x$-values: $10 - 0 = 10$

Step4: Compute the slope

Slope is $\frac{\text{rise}}{\text{run}} = \frac{2}{10} = \frac{1}{5}$

To draw the rise/run: From $(0, -2)$, draw a vertical line up 2 units to $(0, 0)$ (this is the rise), then a horizontal line right 10 units to $(10, 0)$ (this is the run); or from $(10, 0)$, draw a vertical line down 2 units to $(10, -2)$, then left 10 units to $(0, -2)$.

Answer:

The slope of the line is $\frac{1}{5}$