2(x-1)=y+3 y=2x+1 FInd slope, x-intercept, and y-intercept for both equations

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have 2(x - 1) = y + 3     use distributive property

(2)(x) + (2)(-1) = y + 3

2x - 2 = y + 3      subtract 3 from both sides

2x - 5 = y → y = 2x - 5

slope: m = 2

y-intercept: b = -5

x-intercept for y = 0. Substitute:

2x - 2 =0       add 2 to both sides

2x = 2        divide both sides by 2

x = 1

Answer:slope = 2y-intercept = -5x-intercept = 1

-------------------------------------------------------------

y = 2x + 1

slope: m = 2

y-intercept: b = 1

x-intercept for y = 0. Substitute:

2x + 1 = 0       subtract 1 from both sides

2x = -1       divide both sides by 2

x = -0.5

Answer:slope = 2y-intercept = 1x-intercept = -0.5

Related Questions

Solve for v: -v+1=1 + 8v

Step-by-step explanation:

Because....

Step 1: Simplify both sides of the equation.

−v+ 1= 8v + 1

Step 2: Subtract 8v from both sides.

−v+1 − 8v = 8v+1 − 8v

−9v + 1 = 1

Step 3: Subtract 1 from both sides.

−9v + 1 −1 = 1−1

−9v=0

Step 4: Divide both sides by -9.

v=0

Therefor, the answer is v = 0

* Hopefully this helps:) Mark me the brainliest:)!!!

There are 52 people in a conference room. The ratio of females to males in the room is 15 to 11.
How many females need to leave the room so that the ratio of females to males
in the room is 1 to 1?

A ratio shows us the number of times a number contains another number. The number of females who should leave the conference room is 8.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of females to males in the room is 15 to 11, therefore, the numbers of female to male ratio can be represented by 15x to 11x.

The sum of the total number of people in the room is 52, and can be represented as,

15x + 11x = 52

26x = 52

x = 2

Thus, the number of females in the conference room is 30(15x=15×2), while the number of males in the conference room is 22(11x=11×2).

Now, for the ratio to be 1:1, the number of males should be the same and the number of females should be equal to the number of males. Therefore, the number of females who should leave the conference room is,

Number of females who should leave conference room = Number of females before - Number of females after

Number of females who should leave conference room = 30 - 22 = 8

Hence, the number of females who should leave the conference room is 8.

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8 Females have to leave the room which then it would be 22 males and 22 females which is a 1-1 ratio

Josh is trying to factor the expression -20a - 8 - 12b. He writes -4(5a + 2 + 3b). What error did Josh likely make?

The error make by Josh is none .

Step-by-step explanation:

Given as :

The actual expression is written as ( - 20 a - 8 - 12 b )

The expression written by Josh as - 4 ( 5 a + 2 + 3 b )

Now, From the actual expression , if we take the common term

Then - 4 ( 5 a + 2 + 3 b )

The actual expression after taking common term 4 , is written as

- 4 ( 5 a + 2 + 3 b )

And The expression written by Josh is also  - 4 ( 5 a + 2 + 3 b ) , which is the similar one.

So, no error makes by Josh

Hence The error make by Josh is none . Answer

Rod brought 40 juice bottles to the picnic. He brought 28 apple juice bottles and the rest were orange juice bottles. What was the ratio of apple juice bottles to orange juice bottles?

Ok, So a ratio can be written 3 ways.

Like:-

1. a:b
2. a to b
3. a
-----
b

When working with ratios, we have to be VERY careful. Wat ever is supposed to come 1st, we HAVE to put that, or it will be wrong.

Ok so it says ratio of apple juice to orange juice bottles.

So there are 28 apple juice bottles.

So 28 will come 1st.

Now we need to know how many orange juice bottles there are.

40 - 28 = 12

So, there are 12 orange juice bottles.

Therefore 12 will come after.

28:12
28 to 12
28
------
12

Now we need to SIMPLIFY:

28 ÷ 4  =   7
-------------    ----
12 ÷ 4  =   3

So, the ratio is 28:12, simplified is 7:3.

Hope i helped ya!!!!!!

28:12, reduces to 7:3. so there are 7 bottles of apple juice for every  3 bottles of orange luice

X+6/2 - x-8/3 = 5

(x + 6)/2 - (x - 8)/3 = 5
Multiply each term by 6:-
3(x + 6) - 2(x - 8) = 30
3x + 18 - 2x + 16 = 30
3x - 2x = 30 -18 - 16
x = 30 - 34
I assume you meant x + 6 as a numerator and x - 8 as a numerator although that is not what the equation you wrote means.

9 increased by 6 can be stated as the total of 9 and 6.

If ur asking if it's correct, it is.
I'm not quite sure what your question is? Can you explain? 9 increased by 6 would be 9 + 6= 15
But i don't think you'd need help on that :'D

Choose the point on the terminal side of -45°.

terminal side of -45 degrees is

(4,-4)

Terminal side of -210 is on quandrant 2. Negative angle goes clockwise. So the sin(-210) equal to 1/2. So for each choice, it should be in quandrant 2 and sin should be 1/2. What we do is find the point and draw a right trangle bases on the point and orgin, final solution should be choice 4.

Cory has 15 die-cast cars in his collection. Each year his collection increases by 20%. Roger has 40 cars in his collection. Each year he collects 1 additional car. Part A: Write functions to represent Cory and Roger's collections throughout the years.
Part B: How many cars does Cory have after 6 years? How many does Roger have after the same number of years?
Part C: After approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically.

Part A:
For Roger:
For Cory:
where y is the total  number of cars each boy collects over the year, x as the number of years passed.

Part B:
For Roger: 46
For Cory: 44.79~ 45 cars

Part C:
Here, we are trying to find the number of years (x) where Cory and Roger have the same number of cars.
By equating Roger and Cory's functions, we can solve for x
.
Since we cannot solve the value of x directly, we use trial and error to estimate the year.
When x=1

When x=2

When x=3

When x=4

When x=5
45=/=37.3
When x=6
46=/=44.8
When x=7
47=/=53.7

The years that pass by before  Cory and Roger have nearly the same number of cars is 6.

Step-by-step explanation:

Part A:

For Roger:

For Cory:

where y is the total number of cars each boy collects over the year, x as the number of years passed.

Part B:

For Roger: 46

For Cory: 44.79~ 45 cars

Hello, I'm trying to solve 6x + y = 4, x - 4y = 19. I have found the y but I cant seem to find the x. Plz help and we cant use decimals.

Step-by-step explanation:

Given:

The given expressions are.

We need to find x and y values.

Solution:

Equation 1⇒

Equation 2⇒

First solve the equation 1 for y.

--------(3)

Substitute in equation 2.

Simplify.

Add 16 both side of the equation.

Divide Numerator and denominator by 5.

Substitute x value in equation 3 and simplify.

.

Therefore, the value of and .