If we observe the square numbers series, we can understand a pattern: 1,4,9,16,25. In other words, we have the following 1+3=4 4+5=9 9+7=16 16+9=25 In this pattern, we added 3,5,7 and 9 respectively to the previous number. In this way, to get the next numbers, we need to add 11,13,15,17 and 19 respectively to get the answer to previous number. 25+11=36 36+13=49 49+15=64 64+17=81 81+19=100 So, the five square numbers that follow 25 are 36, 49, 64, 81, 100. answer 36, 49, 64, 81, 100.
First, find the slope of the given points (m = y2 - y1 / x2 - x1) m = (6-1) / (-4-1) = 5/-5 = -1 Then substitute the slope and the coordinates of either point for x and y into y = mx + b, we’ll use (-4,6) 6 = (-1)(-4) + b Solve for b 6 = 4 + b, subtract 4 from both sides: b = 2 Rewrite y = mx + b with m = -1 and b = 2 Equation: y = -1x + 2 or y = -x + 2
