Respuesta :

Answer:

y=1/2x-5

Step-by-step explanation:

From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation

[tex](y_{2} -y_{1})/(x_{2}-x_{1} )[/tex]

We can substitute in the points so it looks like

[tex](-4--5)/(2-0)[/tex]  or  [tex]1/2[/tex] which is the slope of the function

Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5