Question

Find an equation of the line parallel to 6x + 2y = 49 containing the point (4,9).

Answer 1

geometry or algebra1?

Answer 2

Give me a point that is related to 4,9
such as...6,11 or something..

Answer 3

adv algebra

Answer 4

how about (6,110! lol @SexyBeast890

Answer 5

My fault o.o
It was 6,2 not 6,9 o.o
Any who all we gotta do is change the =...
So we keep:
6x + 2y
But change:
=49 = 56
so our equation will now look like 6x + 2y = 56

Answer 6

So how would I write that in slope intercept form?

Answer 7

since the lines are parallel, the slope will be the same. you also know one point on the line (4,9). then you plug these values into the line equation y=m(x-x1) + y1 where x1=4, y1=9 and m=slope=6

Answer 8

^

Answer 9

6x+2y=49
first find the slope of this equation

Answer 10

So what would the equation be in slope form?

Answer 11

point-slope or slope-intercept?

Answer 12

slope-int

Answer 13

subtract 6x from both sides then divide by 2y right?

Answer 14

ok.
remember slope-intercept is y=mx+b
where m is slope and b is your y-intercept

Answer 15

that way you have it in y = mx + b

Answer 16

so 6x+2y=49 is in standard form, Ax +By=C
and to find the slope, its -A/B
so the slope is -6/2= -3

Answer 17

so you know m=-3 and (x,y)= (4,9)
plug it in

9=-3(4)+b
9= -12+b
+12 +12
----------
21=b

so you're slope inter form is
y=-3x+31

Answer 18

i meant y=-3x+21

Answer 19

So 6x + 2y =49 as a parallel line containing the point (4,9) is y=-3x + 21?

Answer 20

yes

Answer 21

y=-3x+21 is the equation of the line that contains (4,9) and is parallel to 6x+2y=49

Answer 22

THANKS! THIS MAKES SO MUCH MORE SENSE NOW!

Answer 23

you're welcome!