Question

1.) Line k has x-intercept of ?
2.) Line k has y-intercept of ?
3.)The slope of line k is ?
4.) Write the equation of line k in slope-intercept form (y=mx + b).
5.) Write the equation of line k in standard form (Ax + By = C).

Answer 1

1.) Line k has x-intercept of ?
Where does line k cross the x-axis?
2.) Line k has y-intercept of ?
Where does line k cross the y-axis?
3.)The slope of line k is ?
slope is rise/run so how many up or down/how many left or right, slope will be negative
4.) Write the equation of line k in slope-intercept form (y=mx + b).
where m=slope and b=y-intercept
5.) Write the equation of line k in standard form (Ax + By = C).
Can be solved after you have #4 and can explain. Tell me what you get for these and I will help you. I will tell you if you are correct.

Answer 2

X intercept = 6
y intercept = 4

how would i find slope with that?

Answer 3

That is correct
rise/run=y/x
so in your case
y=4 and x=6
so 4/6= 2/3
And it's going to be negative be it is going down to the right. So slope = -2/3

Answer 4

So what is slope-intercept form (y=mx+b) of line k?

Answer 5

y=-2/3+4

Answer 6

Yupp. Do you know how put that in Standard form(Ax+By=C)?
Or do you need help with that?

Answer 7

i think i forgot to put x in

Answer 8

Yes you did, but you get what your doing. x goes right after the 3

Answer 9

so would it be y=-2/3x+4?

Answer 10

yes

Answer 11

but you need standard form ?

Answer 12

ok :) yes i also need help with standard form

Answer 13

y = -2/3x + 4 -- add 2/3x to both sides
2/3x + y = 4 -- you cannot have fractions, so multiply entire equation by 3
2x + 3y = 12 -- standard form

any questions ?

Answer 14

so multipy 2/3, y and 4 by 3?

Answer 15

but how do i know how much to multiply by, in this case 3?

Answer 16

you multiply by the LCD of all the numbers...in this case it is 3.

Answer 17

When doing standard form Your A always has to be positive
In yours case this isn't a problem since x is negative
I like to start by first getting rid of the fractions. To get rid of fractions you multiply the fraction by it's reciprocal.
the opposite of
a number/3
is 3.
So really you just multiply by the number on the bottom to cancel eachother out.
But make sure you multiply everything by 3.
So you do
y*3
-2/3 * 3
and 4*3
You get
3y=-2x+12
Now you want -2x on the other side so you want to add both sides by 2x
the 2x on the right will cancel out
you also want the x to be in front of the y (hence Ax+By=C)
So your final answer is 2x+3y=12

Answer 18

2/3x + y = 4 -- let me add this step, it might make it clearer...
3(2/3)x + 3(y) = 3(4)
6/3x + 3y = 12
2x + 3y = 12

understand ?

Answer 19

yes

Answer 20

thank you

Answer 21

i have one last question could you help me?

Answer 22

No problem. And yeah!

Answer 23

How would i prove AB perpendicular to k
it says Draw line AB and prove AB is perpendicular to k, then on the graph draw line j through paoint a, parallel to line k.

Answer 24

Well lines that are perpendicular have opposite slopes.
So since the slope of line k is -2/3 the opposite of that is would be it flipped and positive
So if line AB has a slope of 3/2 then they are perpendicular.

Answer 25

ok :)

Answer 26

Super simple right?

Answer 27

yes thank you.

Answer 28

Great!