Answer: A proportional relationship needs to pass through the origin and have a linear (straight) slope. Let me know if you need more specifics.
<span>A is the correct answer. In geometry, postulate is something that is assumed to be true without proof being given. In contrast, a theorem is a true statement which can be proven. A definition defines or explains what a term means. Statement one is a definition of perpendicular lines and statement two can be proven. </span>
Answer:
Step-by-step explanation:
use the point-slope formula [y-y1 =m(x-x1) ] with the given info
for the point P=(x1,y1) =(2,-2) and the slople m = -1/2
plug those into the formula
y-(-2)= -1/2(x-2)
y+2= -1/2x + 1
y= -1/2x+1 - 2
y = -1/2x - 1
:) got it?
these are hard untill you get the idea of the two formulas
point-slope: y-y1 = m(x-x1) and
slope-intercept: y= mx+b
memorizing those will help a lot
Answer:
Your solution is (9, 27) or x = 9, y = 27
Step-by-step explanation:
y = 2x + 9
y = 4x - 9
We can see that both of these equations equal y, so we can set them equal to each other.
2x + 9 = 4x - 9
Add 9 to both sides.
2x + 18 = 4x
Subtract 2x from both sides.
18 = 2x
Divide both sides by 2.
9 = x
Now we want to find y. To do this, plug x = 9 back into one of the original equations.
y = 2(9) + 9
Multiply.
y = 18 + 9
Add.
y = 27
Your solution is (9, 27)
Check your answer by plugging x = 9 and y = 27 back into the original equations.
y = 2x + 9
27 = 2(9) + 9
27 = 18 + 9
27 = 27
y = 4x - 9
27 = 4(9) - 9
27 = 36 - 9
27 = 27
Your answer is correct.
Hope this helps!
