Question

The points (h,0) and ( – 9, – 6) fall on a line with a slope of 6. What is the value of h?

Answer 1

Explanation:

Given:

x1 = h

y1 = 0

x2 = - 9

y = - 6

k = 6

_______

h - ?

y = k*x + b

y = 6*x + b

1)

y2 = 6*x2 + b

-6 = 6*(-9) + b

-6 =- 54 + b

b = 54 - 6

b = 48

2)

y = 6*x + 48

y1 = 6*x1 + 48

0 = 6*h + 48

6*h = - 48

h = - 8

Answer 2

-8

Explanation:

`(-6-0)/(-9-h) = 6\\6(-9-h)=-6\\-9-h=-1\\-h=8\\h=-8`