Question

Which is the equation of a line that is parallel to 2x+5y=4 and goes through the point (5,-4)
A) Y= -2/5x-6
B)Y= -2/5x+2
C)Y= 2/5x-6
D)Y= -2/5x-2

Answer 1

ok, it would probably be easiest to put the equation into the slope intercept form to begin

y = mx + b, where m is the slope of the line

Answer 2

5y=2x+4?

Answer 3

almost, you want to subtract 2x on both sides, so you will have a -2x

Answer 4

5y = -2x + 4

Answer 5

oh yeah lol okay got it. Now what?

Answer 6

divide everything by 5

Answer 7

you want y = .....

Answer 8

y=-2/5-2?

Answer 9

where did the x go? and 4 divided by 5 is, 4/5

Answer 10

i accident divded the 4 by -2 lol

Answer 11

thats ok, so this is what you get for the given line in the slope intercept form

\[y = \frac{ -2 }{ 5 }x + \frac{ 4 }{ 5 }\]

Answer 12

But my pretest doesn't give me that for any of my answers.. :(

Answer 13

that is just the given line, we now need to use information from that to find a different line with the point they gave you

Answer 14

oh okie dokie how does one do that?

Answer 15

The key point here, is that the slope of a parallel line , will be the same slope

m = -2/5 in the y = m*x + b for y = (-2/5)x + 4/5

Answer 16

we now have the slope (-2/5) and a point (x,y) = (5,-4) given in the problem.

Answer 17

Point-Slope form of a line,

Given slope: m = -2/5
Point : (x1, y1) = (5, -4)

Fill in for this point slope equation:

y - y1 = m*(x - x1)

Answer 18

I got 9=m(-7) is that riht?

Answer 19

Point - slope form of a line

y - y1 = m*(x - x1)

put in: m = -2/5
x1 = 5
y1 = -4

Answer 20

y - (-4) = (-2/5)(x - 5)

Answer 21

all i did was put the numbers in the equation

Answer 22

You can now simplify that, and it should look like one of the answers, a line parallel to the given line

Answer 23

y - (-4) is the same as y + 4

y + 4 = (-2/5)*(x-5)

Answer 24

distributing the -2/5 into the (x-5) you get

\[y + 4 = \frac{ -2 }{ 5 }x + 5\frac{ 2 }{ 5 }\]

Answer 25

\[y + 4 = \frac{ -2 }{ 5 }x + 2\]

Answer 26

take away 4 from both sides

\[y = \frac{ -2 }{ 5 }x -2\]

Answer 27

so y=-2/5-6?

Answer 28

no -2

Answer 29

-2/5-2

Answer 30

(-2/5)x - 2

Answer 31

yass! thank you bro!

Answer 32

The things you need to remember:

Slope intercept: Y = m*X+b

m= slope, b = y-axis intercept

Point -slope form

y - y1 = m(x-x1)

m=slope , (x1,y1) is a point on the line

A line parallel to a given line will have the same slope, m