Write the equation of the line in slope intercept form that goes through the point 7, 2 and has a slope of 4

Ok so slope intercept form is y=mx+b where m=slope and b= the y-intercept. 
therefore if we have coordinate point in form (x,y) of (7,2) and a slope = 4 then we basically plug and chug with are equation above. So we get 

2=4*7+b so b = -26 so then now we have our final missing variable! so we get

y=4x-26 is the correct answer! 

Any questions please ask! Please help me out also and rate brainliest! Thank you so much!!

Ithink not so sure but i tried it out and came out to be b