Answer:
The line would be y = -1/4x + 27/4
Step-by-step explanation:
In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 6 = -1/4(x - 3)
y - 6 = -1/4x + 3/4
y = -1/4x + 27/4
The y-intercept of linear function (f- g)(x) is (0,9)
<h3>How to determine the y-intercept?</h3>
The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:

So, we have:

Evaluate
f(x) = -2x + 3
Also, we have:

Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
Read more about linear functions at:
brainly.com/question/24896196
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Answer:
y = -6x + 3
Step-by-step explanation:
y = -3(2x) -3(-1) = -6x + 3(1) = -6x + 3
(2,5) ...........................................................................................
The answer is D.
|-4| < 4
4 < 4
|-1| < 0
1 < 0
|-6| = -6
6 = -6
|-14| > 10
14 > 10