Question

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

Answer 1

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