Question

PLEASE HELP!!!

Select the equation of a line that is parallel to the line on the graph and passes through the point
(2, 3).

Answer 1

a.y = 2x + 4

b. y = - 2x + 2

c.y = - x + 2

d.y = - x + 4

Answer 2

@zepdrix @BVBLegacy @Compassionate please help

Answer 3

Hey Nicki c:
Do you know how to find the `slope` of the line that is graphed?

Answer 4

Slope = rise over run right?

Answer 5

Yes, so you'll want to use two points to find the rise over run.
It might be easier if you use the intercepts.

Answer 6

(-2,0) and (0,-1), yah?

Answer 7

Yea

Answer 8

But then what do i do next ? :/ @zepdrix .. Sorry im really bad at math lol.

Answer 9

So your slope formula is given by:\[\Large\rm m=\frac{y_2-y_1}{x_2-x_1}\]On the bottom of the equation we're finding the space between the two points (run),
and on the top we're finding the height between them (rise).

Understand how to plug that information in? :o
Find your slope! c:

It'll be a few more steps after that, but let's get this figured out first.

Answer 10

\[m= \frac{ -1-0 }{ -2 - 0 } \] ?

Answer 11

@zepdrix

Answer 12

Woops you plugged one of the points in backwards D:\[\Large\rm (-2,0)\qquad (0,-1)\]
\[\Large\rm m=\frac{0-(-1)}{-2-0}\]

Answer 13

oops . So after that what do i do .-. ?

Answer 14

After simplifying,
we determine that the line that is graphed has a slope of -1/2.

We're trying to construct a line which is parallel to that one.
Remember what's special about parallel lines?
They have the same slope.

Answer 15

Here are two of the ways we can write a line,

Slope-Intercept Form:\[\Large\rm y=mx+b\]
Point-Slope Form:\[\Large\rm y-y_1=m(x-x_1)\]

Have you seen the second equation before?
It's easier to use, less work for you.
But if you're not familiar with it, we can stick with the slope-intercept form.

Answer 16

ok, im not really familiar with it. I dont really understand slope or any of that..... @zepdrix

Answer 17

You're trying to find a line that is parallel to the one pictured.
We found the slope of the line pictured.

Since they're parallel, we know that our new line will have the same slope value.
\(\Large\rm y=-\frac{1}{2}x+b

Answer 18

\(\Large\rm y=-\frac{1}{2}x+b\)

Answer 19

To find the missing y-intercept, plug in the point that they gave you.
\(\Large\rm (2,3)\)

Answer 20

\[\Large\rm 3=-\frac{1}{2}\cdot 2+b\]

Answer 21

Solve for b, then plug it back into here,\[\Large\rm y=-\frac{1}{2}x+b\]

Answer 22

ok, so b = 4? @zepdrix

Answer 23

@mathmath333 please help <

Answer 24

\(\huge b=4\)

Answer 25

thank you ! @mathmath333

Answer 26

nickiconda is right shes awesome