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 $(0, - 3)$. So the y - intercept $b=-3$.

Step2: Find the slope

Pick two points on the line, say $(0, - 3)$ and $(2,0)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0-(-3)}{2 - 0}=\frac{3}{2}$.

Step3: Write the equation

The slope - intercept form of a line is $y=mx + b$. Substituting $m = \frac{3}{2}$ and $b=-3$ gives $y=\frac{3}{2}x-3$.

Answer:

$y=\frac{3}{2}x - 3$