Respuesta :

Answer:

[tex]y=\frac{5}{4}x+7[/tex]

Step-by-step explanation:

We can start by setting up what we know of the slope-intercept equation, which is the slope.

[tex]y=\frac{5}{4}x+b[/tex]

Now, we can use the given point to find the y-intercept.

[tex]2=\frac{5}{4}(-4)+b\\ 2=-5+b\\b=7[/tex]

And now we are able to write the slope-intercept equation.

[tex]y=\frac{5}{4}x+7[/tex]

I hope this helps!