Hey there,
Your question states: <span>The coordinates of A, B, and C in the diagram are A(p, 4), B(6, 1), and C(9, q). Which equation correctly relates p and q?
Your correct answer would be </span><span>D. p − q = 7 BECAUSE . . .we would have to back the number up because we would need to basically subtract </span>

which would give you 7. So D.) would be your answer.
Hope this helps.
~Jurgen
The solutions for ‘x’ in the given equation are – 3 and - 7
<u>Step-by-step explanation:</u>
Given equation:

To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get
(x + 3) (x + 7) = 0 (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)
x = - 3, -7
Verify above values by multiply both terms,
(x + 3) (x + 7) = 0

(so values obtained from factor method are correct)
Or, can use quadratic formula, for
, the solutions are given by:

In the given equation, a = 1, b = 10, c = 21, apply these in above formula


So,
When 
When 
Hence, the values for ‘x’ are - 3 and - 7
Answer:
slope = 3/2, y-interecept = -.5
Step-by-step explanation:
To find a perpendicular line, just take the current slope (-2/3) and find the opposite reciprocal of 3/2. Then, you can just slowly find your way to the y-intercept through subtraction (or division if you'd rather, both are much quicker than the way most textbooks would tell you - remember, in math, there is no one set way!)
Answer:
x = 1
Step-by-step explanation:
2x+4=8x-2
2x - 8x = -4 -2
-6x = -6
x = 1
The unit rate is 5/1
15/3=5
3/3=1