write the equation of the line in fully simplified slope - intercept form. answer attempt 1 out of 2 answer…

Answer:

$y = - 6x - 1$

Explanation:

Step1: Find two - point coordinates

Let's take two points on the line, say $(0, - 1)$ and $(1,-7)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $(x_1,y_1)=(0, - 1)$ and $(x_2,y_2)=(1,-7)$ gives $m=\frac{-7-( - 1)}{1 - 0}=\frac{-7 + 1}{1}=-6$.

Step3: Determine the $y$ - intercept $b$

The $y$ - intercept is the $y$ - value when $x = 0$. From the point $(0,-1)$, we have $b=-1$.

Step4: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m=-6$ and $b = - 1$ gives $y=-6x-1$.