Question

Find the value of k so that a line passing through (k, k – 3) and (–2, 4) has a slope of 1/4

A. –3

B. 2

C. 5

D. 10

Answer 1

Can anyone please explain how to solve?

Answer 2

I got you!

Answer 3

You have to use the slope-intercept form formula:
\[\frac{ 4-(k-3) }{ -2-k }=\frac{ 1 }{ 4 }\]
Can you handle it from here?

Answer 4

1-k / -2-k = 1/4

Answer 5

Is this correct?

Answer 6

@Luigi0210

Answer 7

Not exactly.. did you distribute your negative?

Answer 8

7-k/-2-k = 1/4

Answer 9

Is this correct?

Answer 10

There you go

Answer 11

I don't know how to continue though:(

Answer 12

Cross multiply

Answer 13

28-4k/ -2-k is what i got

Answer 14

Is it correct?

Answer 15

good so far, keep going

Answer 16

I am not sure should I divide or what?

Answer 17

\[\frac{ 7-k }{ -2-k }=\frac{ 1 }{ 4 }\]
\[-2-k=28-4k\]

Answer 18

does k=10?

Answer 19

Why yes, yes it does

Answer 20

Thaaaank yooou:)