Question

anya graphed the line (y-2)=3(x-1) on the coordinate grid. what is the slope of anyas line? -3 -1 1 3

Explanation:

Step1: Recall point - slope form

The point - slope form of a linear equation is given by \(y - y_1=m(x - x_1)\), where \(m\) is the slope of the line and \((x_1,y_1)\) is a point on the line.

Step2: Compare with given equation

The given equation is \((y - 2)=3(x - 1)\). By comparing this equation with the point - slope form \(y - y_1=m(x - x_1)\), we can see that \(m = 3\).

Answer:

The slope of Anya's line is 3, so the correct option is the one with 3 (the last option: 3).