Question

Write an equation for a line parallel to x+15=-5y passing through (0,4)

Answer 1

first put equation into y=mx+b
then use point slope form
y-y1=m(x-x1)
m=slope

Answer 2

0=x1
4=y1

Answer 3

then the expression will look like y-4+m(x-0)

Answer 4

@twinkieexpress ?

Answer 5

slope will be -1/5 as it is parallel to the rrquired eqn.so slopes of oth equations wll be same.

Answer 6

u r given a point (0,4)
this will be x1 and y1 in the eqn,
(y-y1)=slope(x-x1)
put the values and try it

Answer 7

How did you figured out the slope was -1/5?

Answer 8

First substitute the value to make y positive: y=-0.2x-3
then use the gradient equation: (y-y1)=m(x-x1)
where m is the slope and the point is (x1,y1)
and you will get this: y-4=-0.2(x-0)
and after simplifying you get: y=-0.2x+4

Answer 9

because the slope on the x value is -1/5 when the coefficient of y is 1

Answer 10

@jim_thompson5910 ?

Answer 11

what's the slope of x+15=-5y

Answer 12

1

Answer 13

you need to get the equation into y = mx+b form first

Answer 14

is it y=1/5x+15

Answer 15

close, but no

Answer 16

umm can you help me with it, y intercept form was a sucky thing for me

Answer 17

start with x+15=-5y and divide both sides by -5 to isolate y

Answer 18

what you have is close, but it's a bit off

Answer 19

umm 7=x-3

Answer 20

hmm how are you getting that?

Answer 21

umm im trying to divide andthen divide both sides by -5

Answer 22

another way to think about it: divide every term by -5 to isolate y

Answer 23

-1/5-3=y

Answer 24

getting closer

Answer 25

ugh

Answer 26

you lost x

Answer 27

y=1/5x-3

Answer 28

it should be -1/5x - 3 = y

Answer 29

much better

Answer 30

oh sry

Answer 31

it should be

y = -1/5x - 3

but you pretty much have it (ignoring the typo)

Answer 32

and whats my next step?

Answer 33

so what is the slope of y = -1/5x - 3

Answer 34

-1/5

Answer 35

so the slope of any parallel line to this one is also -1/5

Answer 36

since parallel lines have equal slopes

Answer 37

the given point is (0,4)

so x = 0 and y = 4

--------------------

we know that m = -1/5, x = 0, y = 4

plug these 3 pieces of info into

y = mx + b

and solve for b

Answer 38

y=1/5x+4

Answer 39

the slope is negative, so it should be

y = -1/5x + 4