Question

Create your own equation written in standard form.
Determine any point that is a solution and will be on this line. Justify your answer algebraically.
Explain how to find the x- and y- intercept(s) using complete sentences. Write the intercepts as ordered pairs.
Rewrite the equation using function notation. Graph the function and show the intercepts.

Answer 1

@CamPayne

Answer 2

First step:

Write an equation for a line such as...
y = 2x + 4

This pick a point, like (1, 4)

Plug it into equation

(4) = 2(1) + 4
4 = 2 + 4
4 = 6
Not correct, so (1,4) isn't a point on the line

See?

Answer 3

standard form is --

ax + by = c

Answer 4

pick values for a,b,and c...

Answer 5

DanJs guide me or someone guide me

Answer 6

okay

Answer 7

2x+3y=10

Answer 8

ok, that is the first part.. for the second part, they want any point (x,y) that is on that line...
2x + 3y = 10

you can pick any x value, then solve for what y would be, to get (x,y)

Answer 9

um i choose you

Answer 10

jk x=2

Answer 11

ok, put the 2 in for x, and solve for y

Answer 12

4+3y=10

Answer 13

right, x=2, not solve for y=

Answer 14

y= 10/3 - 4/3

Answer 15

right, that comes out to 6/3 or y=2

It is better to move the whole numbers around first before dividing if you want.

4 + 3x = 10
3x = 6
x=2

Answer 16

DOPE! i thought i was wrong for a second because i was following the steps to get f(x)

Answer 17

it still works, just more messy.., so you choose x=2, and calculated y=2, so you get a point on the line (x,y)=(2,2)

Answer 18

yup

Answer 19

The x and y intercepts are the points where the line crosses the x-axis, and y=axis.

For any point on the x-axis, the y value is 0. you see that>

Answer 20

DanJS you're following the questions it is asking right?

Answer 21

Just making sure

Answer 22

yeah, the first one, standard form ax+by=c
2x + 3y = 10

the second, a point (x,y) on the line, you choose x=2, and got y=2,
(x,y) = (2,2)

the third, find the x and y axis intercept points....

Answer 23

Explain how to find the x- and y- intercept(s) using complete sentences. Write the intercepts as ordered pairs.

Answer 24

ok, you see how any point on the x-axis line has a y value zero... and any point on the y-axis has an x value x=0??

Answer 25

yes

Answer 26

The x and y intercepts for your line, are where it crosses each axis.

Answer 27

yes

Answer 28

to get where it crosses the x-axis, you set the y value to zero...and to get the y-axis intercept, you set the x value to zero....the two points are

y-intercept ---- (0 , y)
x-intercept -----(x , 0)

you see that?

Answer 29

i am here

Answer 30

So you do the same thing like you did finding a point(x,y), except this time, you want when x=0 and when y=0

Answer 31

2x+3y=10

Answer 32

and what will that give me? that would give me 0=10...

Answer 33

When x=0, you get the y-axis intercept...

2x + 3y = 10
2*0 + 3y = 10
3y = 10
y = 10/3

When x=0, y=10/3 ,

y-intercept (x,y)=(0, 10/3 )

Answer 34

Same for the x-intercept, except this time put y=0

Answer 35

ooo yeah sorry i plugged in 0 in both palces at the same time

Answer 36

x=5

Answer 37

y=5**

Answer 38

you had it the first time,
if y=0, x=5

Answer 39

So you have the x and y intercepts

(5,0) and (0 , 10/3)

Answer 40

okay

Answer 41

it says reqwrite the function using notation .... and graph the function

Answer 42

reqrite

Answer 43

2x + 3y = 10

For a function of y in terms of x, y=f(x), solve your equation for y

Answer 44

then you have a function y = f(x), where you pick an x value, and it gives you the y value

Answer 45

explain please

Answer 46

so i put in any numbers or the numbers we are using

Answer 47

You take your equation that is in standard form ax + by = c,
2x + 3y = 10

and solve that for y

Answer 48

2x + 3y = 10
3y = -2x + 10
\[\large y=\frac{ -2 }{ 3 }x+\frac{ 10 }{ 3 }\]

Answer 49

the points were (2,2) so i plug those in

Answer 50

oh okay

Answer 51

got it

Answer 52

as a function y in terms of x
\[y=f(x)\]
\[f(x)=\frac{ -2 }{ 3 }x + \frac{ 10 }{ 3 }\]

Answer 53

how do i graph that?

Answer 54

you only need 2 points to graph a line, i would use the two axis intercepts you found