Question

find the equation of the line. use exact numbers. y= x+

Explanation:

Step1: Find the slope

The line passes through points $(0, - 9)$ and $(2, - 1)$. The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So $m=\frac{-1-(-9)}{2 - 0}=\frac{-1 + 9}{2}=\frac{8}{2}=4$.

Step2: Find the y - intercept

The y - intercept $b$ is the y - value when $x = 0$. From the graph, when $x = 0$, $y=-9$, so $b=-9$.

Step3: Write the equation

The slope - intercept form of a line is $y=mx + b$. Substituting $m = 4$ and $b=-9$ gives $y = 4x-9$.

Answer:

$y = 4x-9$