Question

Help is really needed

For the function f(x) = 3x+2, find x such that f(x) = 14.

Answer 1

translate as "solve for \(x\), \( 3x+2=14\)

Answer 2

x=4?

Answer 3

yes

Answer 4

yep....x = 4 because 3(4) + 2 = 12 + 2 = 14

Answer 5

so that would be the answer?

Answer 6

yes...when x = 4, then f(x) = 14

Answer 7

ok can you help me with one more question please

Answer 8

I can try, but I am not the best at functions

Answer 9

ok

What is the slope of a line that passes through the point (−1, 1) and is parallel to a line that passes through (3, 6) and (1, −2)?

Answer 10

lets first find the slope of the line by using the slope formula
slope(m) = (y2 - y1) / (x2 - x1)
(3,6)...x1 = 3 and y1 = 6
(1,-2)..x2 = 1 and y2 = -2
now we sub
slope(m) = (-2 - 6) / (1 - 3)
slope(m) = -8/-2
slope(m) = 4

A parallel line will contain the same slope.
Now use y = mx + b

slope(m) = 4
(-1,1)...x = -1 and y = 1
now sub
1 = 4(-1) + b
1 = -4 + b
1 + 4 = b
5 = b

so your parallel equation going through points (-1,1) is :
y = 4x + 5

Answer 11

So wait what's the slope of the line? y = 4x + 5

Answer 12

no...the slope of the line is 4.

the parallel line containing points (-1,1) is : y = 4x + 5

Answer 13

ok so the final answer is 4?

Answer 14

I used the slope formula , (y2 - y1) / (x2 - x1) to find the slope of the two points (3,6) and (1,-2). The reason that I had to find the slope is because I needed it to find the parallel line.

The final answer is : y = 4x + 5, unless you need it in standard form

Answer 15

No it doesn't need to be in standard. Thank you so much this really, really helped.

Answer 16

glad to help :)