Answer:
y=1/2x+8
Step-by-step explanation:
The slopes will be the same but the y-intercept will be different. I graphed out which equation will pass through (4,10) and also be parallel to y=1/2x-8.
Answer: option D is the correct answer
Step-by-step explanation:
In the given sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 351
d = - 343 - - 351 = - 343 + 351
d = 8
Therefore, the explicit function which defines the sequence is
f(n) = - 351 + 8(n - 1)
f(n) = 8n - 8 - 351
f(n) = 8n - 359
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines: Their gradients are reciprocals.
This means:
- -1 ÷ Gradient 1 = Gradient 2
- Gradient 1 * Gradient 2 = -1
Gradient of the given equation is 3.
-1 / 3 = -1/3
Gradient of the equation we're finding is -1/3
y = -1/3x + c
Substitute the coordinates in to find the value of c
2 = -1/3(6) + c
2 = -2 + c
2 + 2 = c
4 = c
y = -1/3x + 4
