Question

A line passes through the point −6, 1 and has a slope of 4 over 3.

Write an equation in slope-intercept form for this line.

Answer 1

does "4 over 3" mean \(\frac{4}{3}\)?

Answer 2

Yes..

Answer 3

ok use
\[y-y_1=m(x-x_1)\] with \[x_1=-6,y_1=1,m=\frac{4}{3}\]

Answer 4

Confused... But I will try it

6-1^1= 4/3(x-x^1) ??

Answer 5

HI!!

Answer 6

i see you are a bit confused

Answer 7

you do know that the answer you are supposed to get has an \(x\) and a \(y\) in it right?

Answer 8

Yes I'm confused and no .That's why I'm asking for help .

Answer 9

it should look like \(y=mx+b\) for some \(m\) and \(b\)

Answer 10

the \(x\) and \(y\) are variables in this expression \[y-y_1=m(x-x_1)\] they are the \(x\) and \(y\) in the answer
the \(m\) and \(x_1,y_1\) are numbers
@satellite73 showed you what those numbers are

Answer 11

So y-1=4/3(x-(-6)

Answer 12

that looks good

Answer 13

\[y-1=\frac{4}{3}(x+6)\] looks even better since \(-(-6)=+6\)

Answer 14

you are not done yet though, you still have to solve for \(y\) which takes exactly two steps

Answer 15

So how do I do that?

Answer 16

a) distribute the \(\frac{4}{3}\) on the right
b) add \(1\) to both sides

Answer 17

does that make any sense to you?

Answer 18

y=4/3x+9??

Answer 19

yes!

Answer 20

\[\color\magenta\heartsuit\]

Answer 21

Mind if you help me with another one?

Answer 22

sure
and say hi to penn for me

Answer 23

Hello penn?.?.Don't know who that is lol but Hi...

A line passes through the point -2, -4 and has a slope of −7
.
Write an equation in slope-intercept form for this line.

Answer 24

this one is even easier because there is no fraction

Answer 25

same as before \[y+4=-7(x+2)\]

Answer 26

what @satellite73 said, then you have to solve for \(y\) using the same two steps
a) distribute on the right
b) subtract 4 from both sides

Answer 27

y=-7x-18??

Answer 28

https://www.youtube.com/watch?v=oJhYySXzOq0

Answer 29

yeah looks good

Answer 30

A line passes through the point 7, 5 and has a slope of 2
.
Write an equation in slope-intercept form for this line.

Would it look like this ?

y+5=2(x+7)

Answer 31

not quite

Answer 32

the reason they were plus before was because each number was negative
but the formula is
\[y-y_1=m(x-x_1)\]

Answer 33

so change those plus signs to minus signs

Answer 34

so each time it's a plus it will be a minus and when ever it's a minus it will be a plus?

Answer 35

yes

Answer 36

so y-5=2(x+7) or is y-5=2(x-7)

Answer 37

second one

Answer 38

so y=2x-9?

Answer 39

looks good

Answer 40

A line passes through the point
−8, 7 and has a slope of 5/4
.
Write an equation in slope-intercept form for this line.

y+7=5/4(x+8)

Answer 41

not quite
there is one mistake in a sign
do you see it?

Answer 42

would it be (x-8)??

Answer 43

no that part is right

Answer 44

so -7??

Answer 45

yes

Answer 46

so y-7=5/4(x+8)

Answer 47

at the risk of repeating myself, it is \[\huge y-y_1=m(x-x_1)\] the minus signs are in the formula

Answer 48

yeah that is right

Answer 49

y=5/4x+17??

Answer 50

yup

Answer 51

it said it was incorrect...

Answer 52

it was minus 17..

Answer 53

no it isn't

Answer 54

That's what the problem said and when i hit explain it gave me the answer...

Answer 55

\[y-7=\frac{5}{4}(x+8)\\
y=7=\frac{5}{4}x+10\\
y=\frac{5}{4}x+17\]

Answer 56

sometimes i think the thing is rigged
...

Answer 57

was the point\((7,-8)\)?

Answer 58

no -8,7

Answer 59

yeah sorry that is what i meant

Answer 60

if the point is \((-8,7)\) then it should be \(y=\frac{5}{4}x+17\)

Answer 61

tell them it is a mistake

Answer 62

A line passes through the point
−6, -1and has a slope of −5/2
.
Write an equation in slope-intercept form for this line.

Would it be y+1=-5/2(x+6)

Answer 63

yes

Answer 64

so it would be y=-5/2x-16??

Answer 65

hmm lets check

Answer 66

\[y+1=-\frac{5}{2}(x+6)\]\[y+1=-\frac{5}{2}x-15\]\[y=-\frac{5}{2}x-16\]

Answer 67

A line passes through the point 6, 1 and has a slope of 2.
Write an equation in slope-intercept form for this line.

so y-1=2(x-6)??

y=2x-11??

Answer 68

yes

Answer 69

One more problem then I will be done with that subject.I greatly appreciate you for helping me !


A line passes through the point
4, -9 and has a slope of −4
.Write an equation in slope-intercept form for this line.

y+9=-4(x-4) or is it y+9=-4(x+4)

Answer 70

fist one

Answer 71

first

Answer 72

so the final answer would be y=-4x+7

Answer 73

yes

Answer 74

you done with them all?

Answer 75

said I was incorrect...

Answer 76

ok lets check

Answer 77

A line passes through the point
(4, -9) and has a slope of −4 right?

Answer 78

\[y+9=-4(x-4)\\
y+9=-4x+16\\
y=-4x+7\]

Answer 79

it is right, if that was the question

Answer 80

We are given that the line passes through the point
−4, 9
.
So, the equation must be true when
=x4
and
=y−9
.
=−9+−44b
We can solve this equation for the
y
-intercept
b
.
−9
=+−44b
−9
=+−16b
7
=b
We now write the equation of the line in slope-intercept form.
=y+−4x7
Here is the answer.

=y+−4x7

Answer 81

that's what it said

Answer 82

but thank you for the help..

Answer 83

i have read that twice now and it does not make any sense to me

Answer 84

what does
=y+−4x7 even mean?