To start, the slope intercept equation format is y=mx+b where m=the slope and b=the y-intercept.
Because you appear to have a coordinate set to plug in for x and y as well as a slope of 4, you can plug your known values into the slope intercept equation: y=mx+b coordinate: (1,6) y=6 (the y value of the coordinate point) x=1 (the x value of the coordinate point) m=4 (the slope of the equation, given)
6=4(1)+b
Because b, your y-intercept is your only missing value, you can simplify your equation and solve for b: 6=4(1)+b 6=4+b b=2
Now that you have your two needed values, your slope and your y-intercept, your final equation should be y=4x+2, or the third choice.
Hope this helps and I hope you have a wonderful rest of your day! :)
