An equation in point-slope form follows a specific format.
y- y_1= m(x- x_1)
In this format, m represents the slope and the point ( x_1, y_1) lies on the graph of the line. Observing the given equation, we see that it would only take a minor adjustment for it to be in point-slope form.
y+3=2(x-1)
a+b=a-(- b)
y-(-3)=2(x-1)
Now let's compare this equation with the general form of an equation in point-slope form.
&y- y_1= m(x- x_1)
&y-( -3)= 2(x- 1)
From what we know, we can see that the given equation gives us the point ( 1, - 3) and the slope 2. Using this point and the slope to determine another point on the graph, we will be able to sketch the graph of the line.
