Question

look at this graph:
write the equation of the line.

Explanation:

Step1: Identify two points on the line

Assume the line passes through (0, 0) and (20, 20) (since the graph seems to have a slope of 1, we can check the grid).

Step2: Calculate the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using (0, 0) and (20, 20), we get $m = \frac{20 - 0}{20 - 0} = 1$.

Step3: Determine the y-intercept (b)

The line passes through the origin (0, 0), so $b = 0$.

Step4: Write the equation

The slope-intercept form of a line is $y = mx + b$. Substituting $m = 1$ and $b = 0$, we get $y = x$.

Answer:

$y = x$