Since we are given the SLOPE and a POINT through which the line passes, we can use the POINT-SLOPE form to write the equation of this line.
The point-slope form is as follows:
y - y1 = m(x - x1), where m is the slope and (x1,y1) are the x- and y- coordinates of the point through which the line passes.
So, we will substitute 1/2 in place of m in that equation, and we will substitute (4,-1) in place of (x1,y1), to get:
y - (-1) = (1/2)(x - 4)
Simplifying this, we have:
y + 1 = x/2 - 2
Which further simplifies to:
y = x/2 - 3
Voila! We have the equation of the line, written in point-intercept form now.
