329,544 views
3 votes
3 votes
(7,5), (x, 2); m =
3

User JoeF
by
2.4k points

1 Answer

19 votes
19 votes

Answer: (6,2)

Explanation:

(7,5) (x,2) m=3 x=?

y=mx+b

y=3x+b (1)

To find the coefficient b we take the coordinate that belongs to this line (7,5): x=7 y=5

5=3(7)+b

5=21+b

5-21=21+b-21

-16=b

Thus, b=-16

Hence, y=3x-16

To find the x we take the coordinate that belongs to this line (x,2): y=2

2=3x-16

2+16=3x-16+16

18=3x

Divide both parts of the equation by 3:

6=x

Thus, x=6

(7,5), (x, 2); m = 3-example-1
User Evan Deaubl
by
3.3k points