Question

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answer 1

See attached graph for rise and run lines

Slope = -1

Explanation:

The slope-intercept equation form of a line is given by
y = mx + b where m = slope and b the y-intercept

rise/run is the slope of the line and is given by Δy/Δx where Δy represents the change in y values and Δx the corresponding change in x values

To calculate slope, take any two points on the line, find the difference between their y values and divide them by the change in x values

Two points I have chosen are (-3, 0) and (0, -3)

`\textsf{{Slope}}=\frac{\ensuremath{-3}-0}{0-(-3)}=(-3)/(3)=-1`

We can see from the graph that the y-intercept ie where the line crosses the y axis i s-3

So the equation of the line is y = -1x - 3