Choose the equation that represents a line that passes through points (-6, 4) and (2, 0).
O x + 2y = 2
O 2x - y = -16
O x + 2y = -8
2x + y = 4
step 1
Find the slope
m=(0-4)/(2+6)
m=-4/8
m=-1/2
step 2
Find the equation of teh line in slope intercept form
y=mx+b
we have
m=-1/2
point (2,0)
substitute
0=-(1/2)(2)+b
0=-1+b
b=1
so
y=-(1/2)x+1
step 3
Convert to standard notation
Ax+By=C
Multiply by 2 both sides
2y=-x+2
x+2y=2