Question

i need help please!!!!!!!!!!!
find an equation of the line through (4,7) and parallel to y=2x-4. write the equation using function notation.

Answer 1

since the required line is parallel to y = 2x-4, the slope must be 2

Answer 2

so the equation will be of form
\[y = 2x + b\]

plugin the given point and find out \(b\)

Answer 3

plug 4 for b?

Answer 4

(4, 7)
x y

Answer 5

plugin x = 4 and y = 7

Answer 6

so 7=8x+b?

Answer 7

do you mean

7=8+b?

Answer 8

yes sorry

Answer 9

good, isolate b

Answer 10

-1=b

Answer 11

Excellent! so the equation is
\[y = 2x - 1\]

Answer 12

but wait they want to put it in function form

Answer 13

for function form, simply replace \(y\) with \(f(x)\) : \[f(x) = 2x - 1\]

Answer 14

okay, thanks so much!

Answer 15

yw!