write the point - slope form of the equation for a line that passes through (6, -1) with a slope of 2. the…

Explanation:

Step1: Identify $x_1$ value

The point is $(6,-1)$, so $x_1 = 6$.

Step2: Identify $y_1$ value

The point is $(6,-1)$, so $y_1=-1$.

Step3: Write point - slope form

The point - slope form is $y - y_1=m(x - x_1)$. Substituting $m = 2$, $x_1=6$ and $y_1=-1$, we get $y+1 = 2(x - 6)$.

Answer:

The value of $x_1$ is $6$. The value of $y_1$ is $-1$. The point - slope form of the equation is $y + 1=2(x - 6)$.