It does represent a direct variation.
Direct variation: y = kx
y varies directly with x
Your equation 2y = 5x + 1 is in the form of y = kx but we need to divide out the 2 from 2y so we have the following
2y = 5x + 1
2y / 2 = 5 x/ 2 + 1/2
y = 5x / 2 + 1/2
y = kx
k = 5/2
k = constant of variation = 5/2
Answer:
k = 2
Step-by-step explanation:
5k = 6k + 4 - 6
We can simplify this by solving 4 - 6 (replacing it with -2 !)
5k = 6k - 2
Now we can subtract 5k from both sides.
0 = k - 2
Finally, we can add 2 to both sides. This gets rid of the negative 2 on the right.
2 = k
Just reversing it...
k = 2
Answer: k = 2
Answer:
answers are in the pics given
Answer:
Happy Friday
Step-by-step explanation:
Answer:
<h2>(2, 9)</h2>
Step-by-step explanation:
Put the coordinates of the points to the inequality and check:
y > 3x + 2
for (-2, -7) → x = -2, y = -7
-7 > 3(-2) + 2
-7 > -6 + 2
-7 > -4 FALSE
==========================
for (-1, -5) → x = -1, y = -5
-5 > 3(-1) + 2
-5 > -3 + 2
-5 > -1 FALSE
==========================
for (2, 8) → x = 2, y = 8
8 > 3(2) + 2
8 > 6 + 2
8 > 8 FALSE
===========================
for (2, 9) → x = 2, y = 9
9 > 3(2) + 2
9 > 6 + 2
9 > 8 TRUE
