Question

HELP! Write the equation of the line using function notation.

f(x) = -3x + 3

f(x) = 3x + 3

f(x) = 2x + 3

f(x) = 1/3x + 3

Answer 1

f(x) = 3x + 3

Solution:

Let us take f(x) = y.

The points indicated in the graph are (0, 3) and (–2, –3).

Slope(m) of the line passing through two points formula:

`$m=(y_2-y_1)/(x_2-x_1)`

Substitute the given points in the above formula,

`$m=(-3-3)/(-2-0)`

`$=(-6)/(-2)`

m = 3

constant is the y-intercept which implies c = 3.

The equation of a line standard form is y = mx + c.

y = 3x + 3

The equation of a line is

f(x) = 3x + 3