Key to "How to use function notation to write the..."

Gracie Steele

Answered question

2023-01-07

How to use function notation to write the equation of the line with the slope of 2 and y-intercept of

(0, - \frac{6}{7})

Dorian Beasley

Beginner2023-01-08Added 13 answers

You should keep in mind that function notation only employs

f (x)

to denote

y

. Hence if we can write an equation in slope-intercept form,

y = m x + b

then we can change that to function notation.
Remember in slope-intercept,

y = m x + b

m

represents the slope and

b

represents the y-intercept.
We are given a slope of 2, so

m = 2

We are given a y-intercept of

(0, - \frac{6}{7})

, so

b = - \frac{6}{7}

This gives us

y = 2 x - \frac{6}{7}

Now simply replace

y

with

f (x)

giving us

f (x) = 2 x - \frac{6}{7}

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