PLEASE HELP!!Find the value of r so the line that passes through each pair of points has the given slope.(–2, r), (6, 7), m = 2/1 (–4, 3), (r ,5), m = 4/1(1, 4), (r ,5), m undefined
Accepted Solution
A:
Answer:Step-by-step explanation:a. (–2, r), (6, 7), m = 2/1b. (–4, 3), (r ,5), m = 4/1c. (1, 4), (r ,5), m undefinedFor question a, The points through which the equation passes are (–2, r), (6, 7), with slope m = 2/1 = 2Slope,m = (change in y) / (change in x)= ( y2-y1) / (x2 - x1)From the points, (–2, r), (6, 7)y2 = 7y1 = rx 2 = 6x1 = -2Slope, m = 2 = (7-r) / (6 - - 2)2 = (7-r) / 816 = 7-rr = 7-16 = -9b) For question b, The points through which the equation passes are (–4, 3), (r, 5), with slope m = 4/1 = 4Slope,m = (change in y) / (change in x)= ( y2-y1) / (x2 - x1)From the points, (–4, 3), (r, 5)y2 = 5y1 = 3x 2 = rx1 = -4Slope, m = 4 = (5-3) / (r - - 4)4 = 2/ (r+4)4(r+4) = 24r + 16 = 24r = -14r = -14/4 =-7/2c) b) For question c, The points through which the equation passes are (1, 4), (r, 5), with slope m = undefined = 0Slope,m = (change in y) / (change in x)= ( y2-y1) / (x2 - x1)From the points, (1, 4), (r, 5)y2 = 5y1 = 4x 2 = rx1 = 1Slope, m = 0= (5-4) / (r - 1)0 = 1/ (r-1)r= 0