Answer:
slope(m) = 1
Step-by-step explanation:
To determine the slope, let's take the points [tex](-2,0)[/tex] and [tex](0,2)[/tex], we'll use the formula for slope:
[tex] \large\boxed{\boxed{m = \dfrac{{y_2 - y_1}}{{x_2 - x_1}}}} [/tex]
We have:
- [tex] (x_1, y_1) = (-2, 0) [/tex]
- [tex] (x_2, y_2) = (0, 2) [/tex]
Substitute the coordinates into the slope formula:
[tex] m = \dfrac{{2 - 0}}{{0 - (-2)}} [/tex]
[tex] m = \dfrac{2}{2} [/tex]
[tex] m = 1 [/tex]
Therefore, the slope of the line is [tex] \boxed{1} [/tex].
Short Cut:
[tex]\sf Slope = \dfrac{rise }{run} = \dfrac{2}{2} = 1 [/tex]
