An equation in point-slope form follows a specific format.
y- y_1= m(x- x_1)
Consider the given equation.
y+5=-2(x-2)
⇕
y-( - 5)= -2(x- 2)
We can identify the slope as m= -2 and ( 2, - 5) as a point on the line. To graph the line, we will plot the given point (2,- 5), then use the slope of -2 to move one step to the right and two steps down. By connecting the given point and our new point with a line, we get the graph of the equation.
