Question

question 10
write the equation of the line shown.
the equation of the line is
check answer

Explanation:

Step1: Identify two points on the line

Let the two points be $(-8, - 1)$ and $(4,-3)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the points: $m=\frac{-3-(-1)}{4 - (-8)}=\frac{-3 + 1}{4 + 8}=\frac{-2}{12}=-\frac{1}{6}$.

Step3: Use the point - slope form $y - y_1=m(x - x_1)$

Using the point $(-8,-1)$ and $m =-\frac{1}{6}$, we have $y-(-1)=-\frac{1}{6}(x - (-8))$.

Step4: Simplify the equation

$y + 1=-\frac{1}{6}(x + 8)$; $y+1=-\frac{1}{6}x-\frac{8}{6}$; $y=-\frac{1}{6}x-\frac{4}{3}-1$; $y=-\frac{1}{6}x-\frac{4 + 3}{3}$; $y=-\frac{1}{6}x-\frac{7}{3}$.

Answer:

$y =-\frac{1}{6}x-\frac{7}{3}$