The general form of the line is: y = mx + c where: m is the slope c is the y-intercept
Now, we are given that the slope = 1/2. The equation now became: y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows: y = (1/2) x + c 1 = (1/2)(-4) + c 1 = -2 + c c = 1+2 c = 3
Based on the above, the equation of the line is: y = (1/2) x + 3
