Question

A graph of a linear function has a slope of and contains

3
the point (0,2). Which of these represents the equation of
this function?

Answer 1

Explanation:

x-0/y-2=3

x=3y-6

3y-x=6

Answer 2

The required line equation of the function is:

`y = 3x + 2`

Please also check the attached graph.

Explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

• m is the rate of change or slope

• b is the y-intercept

Given

• Slope m = 3

• Point (0, 2)

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

We are given the point (0, 2)

It means,

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting m = 3 and b = 2 in the slope-intercept form of the linear or line function

`y = mx+b`

`y = 3x + 2`

Therefore, the required line equation of the function is:

`y = 3x + 2`

Please also check the attached graph.