Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2 slope: ____________

Question

2
slope: ____________

Explanation:

Step1: Identify two points on the line

We can see that the line passes through the origin \((0,0)\) and another point, for example, \((2,2)\) (by counting the grid squares: moving 2 units right and 2 units up from the origin).

Step2: Use the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(2,2)\). Then \(m=\frac{2 - 0}{2 - 0}=\frac{2}{2}=1\). Alternatively, we can use another pair of points, like \((-2,-2)\) and \((0,0)\). Then \(m=\frac{0 - (-2)}{0 - (-2)}=\frac{2}{2}=1\).

Answer:

\(1\)