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QUESTION IMAGE

what is the slope of this line?

Question

what is the slope of this line?

Explanation:

Step1: Select two points on the line

Let's take two clear - cut intersection points on the grid. Suppose we take the points \((x_1,y_1)\) and \((x_2,y_2)\). For example, if one point is \((0,0)\) and another is \((6,6)\) (assuming the grid has integer - valued coordinates).

Step2: Apply the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0,y_1=0,x_2 = 6,y_2 = 6\) into the formula, we get \(m=\frac{6 - 0}{6 - 0}=1\).

Answer:

1