Question

what is an equation of the line whose graph is shown?

y = x

y = 2x

y = -x

y = 2

Explanation:

Step1: Identify line points

The line passes through (0,0), (1,1), (-1,-1).

Step2: Calculate slope

Slope $m = \frac{y_2-y_1}{x_2-x_1} = \frac{1-0}{1-0} = 1$

Step3: Find line equation

Using $y=mx+b$, $b=0$, so $y=1\cdot x + 0 = x$

Step4: Match with options

The equation $y=x$ matches the line's properties.

Answer:

y = x