Question

find the equation of this line. simplify your answer completely. y = \frac{?}{\square}x+\square

Explanation:

Step1: Identify two points

The line passes through (-6, 0) and (0, 2).

Step2: Calculate the slope (m)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-6,0)$ and $(x_2,y_2)=(0,2)$. Then $m=\frac{2 - 0}{0-(-6)}=\frac{2}{6}=\frac{1}{3}$.

Step3: Find the y - intercept (b)

The y - intercept is the y - value when x = 0. From the point (0, 2), the y - intercept $b = 2$.

Answer:

$y=\frac{1}{3}x + 2$