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!