Okay, so this is actually relatively simple: Go up 44 units on the y-axis, where x=0, and put a point. Now, since the slope is 3x, you move 3 units up, and 1 unit right, and place a point. Do this about 3 times, continuing to make points up 3, over 1. You can also move 3 units down and 1 unit left from the point at (0,44) because by moving down, you move -3 units, and by moving left, you move -1 units. This causes the negatives to cancel out, and you keep the slope of 3. I hope this explanation makes sense; good luck!
To solve algebraically: Plug in any number for x, besides 0 because the y-intercept is (0,44). We will use 1 for our x. y=44+3x y=44+3(1) y=44+3 y=47 And so, (1, 47) would be our point You can use -1, as well. y=44+3(-1) y=44-3 y=41 (-1, 44) would be our point
Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2
