Question

What is the linear function equation represented by the graph?

Answer 1

The equation of the line (in slope-intercept form) is
`y=(1)/(3)x-4`

Explanation:

We need two points to figure out the equation of the line given in the graph.

The two points we choose are (0,-4) and (3,-3) (we can choose any 2 points on the line)

The formula we are going to use to find the equation of this line is shown below:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Where

• 
  `(x_1,y_1)` is the first point, and
• 
  `(x_2,y_2)` is the second point

Plugging in the points noted above into the formula gives us:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)\\y-(-4)=(-3-(-4))/(3-0)(x-0)\\y+4=(-3+4)/(3)(x)\\y+4=(1)/(3)x\\y=(1)/(3)x-4`