Question

find the equation of the line. use exact numbers. for a negative y - intercept, type a negative sign. y = □x+□

Explanation:

Step1: Find two points on the line

The line passes through (-6,0) and (-5,2).

Step2: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-6,0)$ and $(x_2,y_2)=(-5,2)$. Then $m=\frac{2 - 0}{-5-(-6)}=\frac{2}{1}=2$.

Step3: Use the slope - intercept form $y = mx + b$

Substitute the point (-6,0) and $m = 2$ into $y=mx + b$. We get $0=2\times(-6)+b$.

Step4: Solve for $b$

$0=-12 + b$, so $b = 12$.

Answer:

$y = 2x+12$