look at this graph. what is the equation of the line in slope - intercept form? write your answer using…

Explanation:

Step1: Find the y - intercept

The line crosses the y - axis at the point $(0,0)$, so the y - intercept $b = 0$.

Step2: Find the slope

Pick two points on the line, say $(0,0)$ and $(2,- 2)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 0,x_2=2,y_2=-2$. Then $m=\frac{-2 - 0}{2 - 0}=\frac{-2}{2}=-1$.

Step3: Write the equation in slope - intercept form

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

Answer:

$y=-x$