Question 332000
find the equation of the line parallel to 8x-y=4 having the same y intercept as x-2y=3
:
Find the y intercept; put x - 2y = 3, into the slope intercept form
x - 2y = 3
-2y = -x + 3
y has to be positive, mult by -1
2y = x - 3
divide both sides by 2
y = {{{1/2}}}x - {{{3/2}}}
y intercept = -{{{3/2}}} or  -1.5
:
Find the slope of 8x - y = 4, (parallel lines have the same slope)
8x - y = 4
-y = -8x - 4
y has to be positive, mult by -1
y = 8x + 4
slope = 8
therefore
y = 8x - 1.5 is the equation
:
graphically
{{{ graph( 300, 200, -6, 5, -10, 10, 8x-1.5, .5x-1.5, 8x+4) }}}
y = 8x - 1.5 is red