Question

what is the slope of the equation $y - 3 = -4(x - 5)$? options: 23, -4, 20, -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 \(y - 3=-4(x - 5)\). By comparing this equation with the point - slope form \(y - y_1=m(x - x_1)\), we can see that \(m=-4\).

Answer:

\(-4\)