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you know that the slope - intercept equation looks like this:
y=mx+b
OK?

Yes...

That's as far as I understand... I don't know how to get the answer.

Y=4x

y = mx +b
m = 4
so write the equation with the value for m in it

(you need the "+b" on the end )

Ok. How do you get b?

Oh, y=4x+b

Yes..

Okay..

so write the equation
y = 4x+b
x= -7
y = 8
in it (leave b as it is for now)

Y=4x+b y =8x=-7 this doesn't make sense to me..

8=4-7+b yes?

B=5

yes - but to be clear about 4 times x it is clearer if oyu write
8 = 4(-7) +b

Y=4(-7)+5. Yes?

yes
so that can be rewritten as
8= -28 +b
so what is b?

Okay.. So I don't need it to equal 5?

B is 5 no??

no it's not , please don't rush - I am trying to guide you to work out the answer

Okay I see..

Sorry..

Yes... B =36

well done
so now write the whole equation
y=mx+b
with the values for m and b that you calculated

Y=4x+36

Correct ?

Thank you sir