Answer
$m=\dfrac{1−0}{2−0}=\dfrac{1}{2}$
The line slants upward from left to right.
For every 2 units increase in the value of x, the value of y increases by 1 unit.
Work Step by Step
RECALL:
(1) The slope m of a line can be found using the formula $m=\dfrac{y_2−y_1}{x_2−x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line.
(2) The slope can also be described as the $\dfrac{rise}{run}$, which can be interpreted as the average increase in y for every unit increase in x.
(3) A line with a positive slope slants upward from left to right while a line with a negative slope slants downward from left to right.
Using the two given points on the line, solving for m gives:
$m=\dfrac{1−0}{2−0}=\dfrac{1}{2}$
The slope is positive, so the line slants upward from left to right.
For every 2 units increase in the value of x, the value of y increases by 1 unit.
