Explanation: The general form of an equation is: y = mx+c where: m is the slope c is the y-intercept 1- getting the slope: We are given that the line is parallel to GH. This means that: slope of the line = slope of GH We have G as (-2,2) and H as (2,6) slope of GH = (y2-y1) / (x2-x2) slope of GH = (6-2) / (2--2) = 1 slope of line = slope of GH =1 Therefore, the equation on the line now becomes: y = x + c 2- getting the y-intercept: We are given that point (-5,6) passes through the line. This means that this point satisfies the equation of the line. So, we will substitute with this point in the equation and solve for c as follows: y = x + c 6 = -5 + c c = 6_5 c = 11
Based on the above, the equation of the line is: y = x + 11