Question

Write the equation of the line that is parallel to the line y = -2/5x and contains the point (5,-3)


2)Write the equation of a line that is perpendicular to the line y = 1/4x + 2 and contains the point (11,4).

Answer 1

parallel means same slope
slope of given line is -2/5 so we know the new slope is also -2/5
plug in the provided points:\[(-3)={-{2\over5}}(5)+b\]\[-3=2+b\]\[-1=b\]now write the equation with the following information:\[m=-{2\over5}\]\[b=-1\]\[y=mx+b\]

Answer 2

y=-2/5-1?

Answer 3

@yummydum

Answer 4

dont forget your x :)\[y=-{2\over5}x-1\]

Answer 5

omg thanks tats the first real help ive gotten ! ur helping me learn !! @yummydum

Answer 6

YAY ^_^

Answer 7

glad you're learning, makes me happy :)

Answer 8

can u explain number 2 and i solve it ? @yummydum

Answer 9

perpendicular lines have opposite, reciprocal slopes
lets say a line has slope 3/2, its perpendicular line would have slope -2/3
and after you find what the perpendicular slope is, follow the same steps, plug in the points, write the equation and tada! :)

Answer 10

so if your slope is 1/4, what would be the perpendicular slope?

Answer 11

y=-4/1x-1

Answer 12

\[(4)=-4(11)+b\]\[4=-44+b\]\[48=b\]\[y=-4x+48\]

Answer 13

remember that the x you plug in is 11 and the y you plug in is 4
the slope you use is -4 and you have to find b
so after solving 4=-4(4)+b you get b=48
thus your equation would be y=-4x+48 :)

Answer 14

i meant after solving 4=-4(11)+b you get b=48

Answer 15

thanks it makes more since now i forgot to plug in

Answer 16

lol i thought so :)

Answer 17

hey do u think u can help with my algebraic proofs question i asked a couple days ago ? @yummydum

Answer 18

umm....is it okay if i help you tomorrow? :D
its 3am my time and i have to study for an exam that starts in just about 4-5 hrs.. yeah

Answer 19

ok !!!! lol