Question

ndicate, in standard form, the equation or inequality that is shown by the graph.
https://media.glynlyon.com/g_geo_ccss_2013/9/groupi93.gif

Answer 1

@SandeepReddy

Answer 2

what's a standard form? im afraid i don't know the form

Answer 3

is it ax+by =c ?

Answer 4

yes

Answer 5

Would it be a+4b=c? @SandeepReddy

Answer 6

no , see here a , b and c are constants and x and y are variables, we need to find a,b and c

Answer 7

You know two point, the intercepts. you can use those to find the slope pretty easy. Then put it in the right form.

Answer 8

from the graph if each mark is 1 unit, then we have points (0,4) and (4,0) passing through the line right?

Answer 9

Yep. Which should tell you the slope right off.

Answer 10

yes

Answer 11

and for \(y=mx+b\) form you need the y intercept for b... well... you have it. So you have b.

Answer 12

slope=-1

Answer 13

Yes.

Answer 14

So what next

Answer 15

Well, what is the y intercept? Remember, in \(y=mx+b\) the b is the y intercept and the m is the slope. If you have those two things you can then put them in the formula and move it around to get standard form.

Answer 16

how do I get the y intercept

Answer 17

Y intercept is the where the line crosses the y - axis.

Answer 18

You can always find it algebraically to if you have found rest of the variables.

Answer 19

so the y intercept is 4

Answer 20

Well, algebraically, you have the slope, so you know:

\(y=-x+b\)

So take a point, either one, and put it in there. But I suggest \((0,4)\) because it is easier.

Yes! there you go.

Answer 21

So put that in for b.

Answer 22

Yup

Answer 23

so is the final answer y=(-1)x+4

Answer 24

No, that is in slope intercept form. you just need to solve \(y=-x+4\) for standard form.

Answer 25

\[Ax+By=C \] standard form

\[y=mx+b \]

slope - intercept form

Answer 26

Remember that earlier you agreed on \( ax+by =c\) as the standard form. So you need the x and y on the left with only a number on the right.

=)

So one last step and you are done.

Answer 27

So to convert it into standard form, you already have y isolated so we can go to the next step which is multiplying all the terms by the multiplicative inverse of y, then simplify. But, your problem is even easier just move the x to the left side.

Answer 28

so y-x=3?

Answer 29

No... um... your number changed and how did you move things like that?

Answer 30

to move the x to the left I subtracted x from both sides then did -1+4

Answer 31

\(m + n - i - 42 = 0\)

To move the 42, I would need to add to both sides:

\(m + n - i - 42 +42 = 0 +42\)
\(m + n - i = 42\)

To move the i, becvause it is -i, I need to add it:

\(m + n - i+i = 42+i\)
\(m + n = 42+i\)

To move the n, because it is +, I must subtract it.

\(m + n-n = 42+i-n\)
\(m = 42+i-n\)

So you must do the opposite of what sign it is. You have a \(-x\) so you must add it.

Answer 32

\(y = (-1)x+4\) means the -1 is multiplying x. So it becomes:

\(y = -1x+4\)
\(y = -x+4\)

Answer 33

Great example @e.mccormick

Answer 34

okay so y=-x+4 is my final answer

Answer 35

No, the x needs to move. You just had it a little wrong when you moved it.

Answer 36

so would it be x+y=4

Answer 37

There you are!

Answer 38

Thank you so much I appreciate it!

Answer 39

Well, I hope you can see the process. It was really just the same as if you were given 2 points at random. But with that graph, the two points were easy ones to work with.

Answer 40

A number is chosen at random from the first 100 positive integers. Find the probability that the number is either even or a perfect square. @campbell_st

Answer 41

well how many even numbers are there and how many odd perfect squares...

P(even or Perfect square) = (even + odd perfect squares)/100

Answer 42

well every even number is positive right

Answer 43

yes... so positives go from 0 to 100

how many even

hoe many odd perfect squares..?

Answer 44

doesn't it want all the way to 200 because it asks for the first 100 positive integers, not which numbers are positive in the first hundred. Do you know what I mean? @campbell_st

Answer 45

1 Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2). Find the coordinates of the center of the circle. In your final answer, include all formulas and calculations used to find Point O, x, y), the center of circle O.
2.A. Line m contains the points, A(–2, 6) and B(4, 8), while line n contains the C(8, 12) and D(x, 24).

Given m and n are perpendicular lines, solve for the value of x.
Given m and n are parallel lines, solve for the value of x.
In your final answer, include all formulas and calculations necessary to solve for x.
Can you please help me with these two problems? @skullpatrol