SOLUTION: Obtain the equation of the straight line passing through the point (4, 5) and (i) parallel to (ii) perpendicular to 3x-2y+5=0

Question 1172316: Obtain the equation of the straight line passing through the point (4, 5) and
(i) parallel to
(ii) perpendicular to 3x-2y+5=0
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
3x-2y+5=0 may be rewritten as 2y=3x+5 or y=(3/2)x+(5/2). The slope is 3/2, so any line parallel to this one has slope (3/2) and any line perpendicular to it has slope -2/3, the negative reciprocal.
-
point slope formula, y-y1=m(x-x1) m slope and (x1, y1) point
y-5=(3/2)(x-4)
y=(3/2)x-1. answer to i
-
y-5=(-2/3)(x-4)
y=(-2/3)x+25/3, answer to ii

RELATED QUESTIONS
Hi, can you help me with this? i. Find an equation of the line that passes through the (answered by Maths68)

Find the equation of straight line passing through the point (2,3) and parallel to the... (answered by Alan3354)

I need help on these two questions! 1. Write the standard form of the equation of the... (answered by sachi)

Graphing Lines by the intercepts method. Find the equation of the line parallel to the (answered by robertb)

passing through (-1,3) and parallel to the line whose equation is... (answered by mananth)

Find the equation of a line parallel to 3x - 2y = 8 and passing through (5, 1). (answered by ikleyn)

Find the equation of the line passing through the points ( - 4, 8) and (5, -1). Also... (answered by checkley77)

find the equation of a line passing through (0, 0) and (i) parallel, (ii) perpendicular... (answered by MathLover1)

Hi! I need some help here :). I need to find the equations of lines (i) parallel and (ii) (answered by josgarithmetic,fcabanski)