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
Explanation
The slope-intercept form of a linear function can be expressed as;
[tex]y=mx+c[/tex]
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
[tex]y=mx+5[/tex]
Picking a suitable point (-4,4) we can then proceed to get the value of m.
[tex]\begin{gathered} 4=-4m+5 \\ 4m=5-4 \\ 4m=1 \\ m=\frac{1}{4} \end{gathered}[/tex]
Therefore, we will have the equation to be;
Answer:
[tex]y=\frac{1}{4}x+5[/tex]
