Question 1118709
same y-intercept means (0, y) are the same for both.  The intercept of the second equation is found by writing it in slope intercept form, and it is 4y=-x+12 or y=-(1/4)x + 3, so the intercept is (0, 3)
2y=-5x+8 for the first equation or y=-(5/2)x+4 in slope-intercept form.
Perpendicular lines had a negative reciprocal for the slope product of both.
The line desired has slope (+2/5) with y-intercept 3 and its equation is y=(2/5)x+3 ANSWER
{{{graph(300,300,-10,10,-10,10,-(5/2)x+4,(2/5)x+3,-(1/4)x+3)}}}