Question 153912
x-2y=6
-2y=-x+6
y=-x/-2+6/-2
y=x/2-3 this line has a slope=1/2
Y=mX+b is the line equation.
Now replace y with (4) & x with (1) & solve for b the y intercept.
4=1/2+b
b=4-1/2
b=3.5 the y intercept.
y=x/2+3.5 This is the equation of the line with a slope=1/2 & passing through the point (1,4)
{{{ graph( 300, 200, -8, 8, -10, 10, x/2 +3.5 ) }}} (graph 300x200 pixels, x from -8 to 8, y from -10 to 10, x/2 +3.5).