Question

Write the equation of the line that passes through the points (1, 7) and (5, 15) using function notation
y = 2x + 5
y = 4x + 8
f(x) = 2x + 5
f(x) = 4x + 8


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Answer 1

slope:
\(\dfrac{y_2-y_1}{x_2-x_1}\)

Answer 2

use the magic formula called the slope formula:
\[\frac{ y_1-y_2 }{ x_1-x_2 } ~or~\frac{ y_2-y_1 }{ x_2-x_1 }\]

Answer 3

slope is 2?

Answer 4

\[substitute ~~~your~~~ points~~\frac{ 7-15 }{ 1-5 }=\frac{ -8 }{ -4 }=2\]

Answer 5

yes 2

Answer 6

so you have y= 2x + b
you need the y-intercept
choose any ordered pair

Answer 7

so C?

Answer 8

now we have the y=mx+b where m is slope. m=2. y=2x+b.

subsiitute one of your points into the equation and solve:

yes

Answer 9

yes it is C

Answer 10

yes C
function notation = f(x)