Question

here’s a graph of a linear function. write the equation that describes that functionExpress it in slope intercept form

Answer 1

Given the graph of the linear function, we are asked to write the equation that describes that function

in slope-intercept form. This can be seen below

Step-by-step explanation

The slope-intercept form of a linear function can be expressed as;

`y=mx+c`

Where m is the slope of the function and c is the y-intercept.

From the graph, we can see that the y-intercept occurs at 5. We can then rewrite the equation as

`y=mx+5`

Picking a suitable point (-4,4) we can then proceed to get the value of m.

`\begin{gathered} 4=-4m+5 \\ 4m=5-4 \\ 4m=1 \\ m=(1)/(4) \end{gathered}`

Therefore, we will have the equation to be;

Answer:

`y=(1)/(4)x+5`