Life Hack: Drawing Graphs

Vocabulary and key graphing concepts demonstrated in the 'Life Hack drawing graphs' tutorial for graphing linear equations using slope-intercept form.

y-intercept

The point where the line crosses the vertical y-axis, represented by $-3$ (located at $(0, -3)$) in the equation $y = \frac{5}{6}x - 3$.

Rise

The vertical change indicated by the numerator of the slope ($5$ with an upward arrow), which counts up $5$ units from the y-intercept at $-3$ to $2$.

Run

The horizontal change indicated by the denominator of the slope ($6$ with a rightward arrow), which counts right $6$ units from $x = 0$ to $x = 6$.

Slope ($m$)

The ratio of vertical change to horizontal change ($\frac{\text{rise}}{\text{run}}$), given as $\frac{5}{6}$ in the linear equation $y = \frac{5}{6}x - 3$.

Graphing $y = \frac{5}{6}x - 3$

A visual method of plotting a line by marking the y-intercept at $(0, -3)$, rising up $5$ units, and running right $6$ units to establish the next point at $(6, 2)$.