line qr goes through points q(0, 1) and r(2, 7). which equation represents line qr?\n y - 1 = 6x\n y - 1 =…

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Given $Q(0,1)$ and $R(2,7)$, where $x_1 = 0,y_1=1,x_2 = 2,y_2 = 7$. Then $m=\frac{7 - 1}{2-0}=\frac{6}{2}=3$.

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $Q(0,1)$ and $m = 3$, we get $y - 1=3(x - 0)$, which simplifies to $y - 1=3x$.

Answer:

B. $y - 1=3x$