Answer:
Explanation:
a. (–2, r), (6, 7), m = 2/1
b. (–4, 3), (r ,5), m = 4/1
c. (1, 4), (r ,5), m undefined
For question a,
The points through which the equation passes are (–2, r), (6, 7), with slope m = 2/1 = 2
Slope,m = (change in y) / (change in x)
= ( y2-y1) / (x2 - x1)
From the points, (–2, r), (6, 7)
y2 = 7
y1 = r
x 2 = 6
x1 = -2
Slope, m = 2 = (7-r) / (6 - - 2)
2 = (7-r) / 8
16 = 7-r
r = 7-16 = -9
b) For question b,
The points through which the equation passes are (–4, 3), (r, 5), with slope m = 4/1 = 4
Slope,m = (change in y) / (change in x)
= ( y2-y1) / (x2 - x1)
From the points, (–4, 3), (r, 5)
y2 = 5
y1 = 3
x 2 = r
x1 = -4
Slope, m = 4 = (5-3) / (r - - 4)
4 = 2/ (r+4)
4(r+4) = 2
4r + 16 = 2
4r = -14
r = -14/4 =-7/2
c) b) For question c,
The points through which the equation passes are (1, 4), (r, 5), with slope m = undefined = 0
Slope,m = (change in y) / (change in x)
= ( y2-y1) / (x2 - x1)
From the points, (1, 4), (r, 5)
y2 = 5
y1 = 4
x 2 = r
x1 = 1
Slope, m = 0= (5-4) / (r - 1)
0 = 1/ (r-1)
r= 0