Question

what is the slope of this line?
simplify your answer and write it as a proper fraction, improper fraction, or integer.
submit
work it out

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify two points on the line

From the graph, we can see that the line passes through the origin \((0, 0)\) and another point, for example, \((4, 4)\) (we can also choose other points like \((2, 2)\), \((1, 1)\) etc.). Let's take \((x_1, y_1)=(0, 0)\) and \((x_2, y_2)=(4, 4)\).

Step3: Calculate the slope

Substitute the values into the slope formula: \( m=\frac{4 - 0}{4 - 0}=\frac{4}{4} = 1 \). We can also check with another pair of points, say \((2, 2)\) and \((0, 0)\): \( m=\frac{2 - 0}{2 - 0}=\frac{2}{2}=1 \). So the slope is 1.

Answer:

\( 1 \)