Question

Write the equation of the line in point intercept form.

Points on the line: (-9,-8) & (2,-4)

Answer 1

i think its `point slope` form
or slope intercept form

Answer 2

Yeah, I meant to write Slope intercept form.

Answer 3

\[\large\rm y-y_1=m(x-x_1)\] point slope form where m is the slope
and (x_1,y_1) represent one of the given point
and the slope intercept form is \[\large\rm y=mx+b\]
where m is slope and b is y-intercept

Answer 4

do you know the slope formula ?
formula to find slope ?

Answer 5

Is the slope 4/11?

Answer 6

how did you get that ?? :)

Answer 7

I used the slope formula to find the slope.

Answer 8

good whats the formula
show your work plz :) what numbers did you substitute in to get 4/11for slope ?

Answer 9

\[m=\left[\begin{matrix}y2 - y1 \\ x2 - x1\end{matrix}\right]\]

Answer 10

hmm looks good i guess and its fraction
\[\rm \frac{ y_2-y_1 }{ x_2-x_1 }=m\] what did you substitute for x_1,x_2 & y_1,y_2?

Answer 11

The points on the line

Answer 12

x__-9__1 x___2___2 y___-8___1 y______-4___2 @Nnesha

Answer 13

cool and there is a negative in the formula
but remember y's values should be at the top of fraction and x at the bottom
and don't forget the sign \[\rm \frac{ -8 -(-4) }{ -9-2 }=m\]
now simplify that

Answer 14

How is -8 y2?

Answer 15

-4/-11?

Answer 16

that's y_1
i thought you typed y_! and x_1 first and then y_2 x_2

Answer 17

\[\rm \frac{ y_1-y_2 }{ x_1-x_2}=\frac{y_2-y_1}{x_2-x_1}\]
doesn't matter which one comes first you will get the same answer

Answer 18

and yes that's correct now just cancel out the negative signs
and then substitute m for the slope value into the slope intercept form which is
y=mx+B and then pick one order (doesn't matter which one u use) substitute x and y for the values in order pair into the equation and then solve for b(y-intercept)

Answer 19

order pair*

Answer 20

So 4/11 is positive?

Answer 21

correct.

Answer 22

So what do substitute for y and b

Answer 23

alright \[\rm y=mx+B\]
m is slope which is 4/11 and b is y-intercept that you have to find
so first of all substitute m for 4/11 and pick one of the order pair for x and y
substitute x and y for that their values and then solve for b

Answer 24

\[\rm y=\frac{4}{11}x+b\]
substitute x and y for (-9,-8) OR for (2,-4)
and then solve for b

Answer 25

\[-4= \frac{ 4 }{ 11 }2 + b ?\]

Answer 26

How do I solve for b?

Answer 27

you should put the parentheses it's m times x
so it should be \[\rm -4 =\frac{4}{11}(2)+b\]
first multiply slope by the x value

Answer 28

8/11?

Answer 29

correct \[-4=\frac{8}{11}+b\]
solve for b
cancel out the 8/11 from right side

Answer 30

Do I multiply it?

Answer 31

it's `8/11 PLUS b`
addition
so do opposite of addition to cancel it out

Answer 32

8/11 - 8/11?

Answer 33

correct subtract -8/11 both sides

Answer 34

.-.

Answer 35

wat ?? ,-,
subtract 8/11 both sides ?? .-.

Answer 36

i have to go ... can you solve for b ?? do you understand that ? ?

Answer 37

No..

Answer 38

alright what part u not able to solve let me know so we can do it together

Answer 39

The subtracting from both sides

Answer 40

I'm good with everything else.

Answer 41

subtract 8/11 both sides\[\rm -4\color{Red}{-\frac{8}{11}}= \frac{8}{11}\color{Red}{-\frac{8}{11}}+b\]

at right side positive 8/11 and negative 8/11 would cancel each other out(That was the goal)

Answer 42

\[\rm -4\color{Red}{-\frac{8}{11}}= \cancel{\frac{8}{11}\color{Red}{-\frac{8}{11}}}+b\]

get the common denominator at left side

Answer 43

brb

Answer 44

here is an example \[\rm \frac{ a }{ b }-\frac{ c }{ d }\] when the denominators aren't the same
multiply the denominators of both fraction

and multiply the numerator of first fraction with the denominator of 2nd fraction
multiply the numerator of 2nd fraction with the denominator of first fraction that's it