So, slope intercept form is y=mx+b.
"b" is the y value when x=0. Therefore, in this case y= mx+ 4. (y=4 when the line crosses the x-axis)
b=4
To find slope, pick two points on the line and use the slope equation to solve:
For example I picked the points they gave you: (1,2) (4,-4)
(x1,y1)= (1,2)
(x2,y2)= (4,-4)
slope is m= (y2-y1)/(x2-x1)
m= ((-4)-2)/(4-1)
m=(-6)/3
m= -2
So, put those together and you get your answer:
y=mx+b
y= -2x+4
Make sense?
