Answer:
x-2y=4
Explanation:
So from the question we know the following:
When something is x intercept it means y=0 so we have (4,0)
When something is y intercept it means x=0 so we have (0,-2)
Now you use these to find the slope using the formula m= (y2-y1)/(x2-x1)
Plug in the values
m= (-2-0)/0-4)
m=(-2/-4)
m= 1/2
x-2y=4
Now you just plug this in slope intercept form y=mx+c, where c is y intercept
y=1/2 x -2
Standard form: ax+by=c
y=1/2 x -2 (rearrange to match the above equation)
-1/2 x +y =-2 (multiply both sides by 2 because we can't have a fraction for a in the standard form)
-1x+2y=-4 (now multiply both sides by -1 because a cannot be negative)
x-2y=4