Find the equation of a line that has a slope of 4 and passes through the point (-1, 8).(multiple choice)

A. y = -1x + 8

B. y = 4x + 4

C. y = 4x + 12

D. y = 4x

Answers

Answer 1
Answer:

Slope intercept form: y=mx+b, with m being the slope and b being the y-intercept.

Plug 4 in for the slope, as that's given in the question:

y=4x+b

Now, we need to solve for the y-intercept, because the answer could be B, C, or D. You can do this by plugging in the given coordinate (-1,8) for x and y in the equation respectively.

8=4(-1)+b

Multiply.

8=-4+b

Add four to both sides.

12=b

The y-intercept is 12. Plug 12 into the equation for b:

y=4x+12 is the completed equation.

The answer is C.

I hope this helps :)


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Which value of x will make the equation2x-30=6 true?

Answers

18 should be the value of x to make the equation true.

2x - 30 = 6

2x = 6 + 30
2x = 36
2x/2 = 36/2
x = 18

to check:
2x - 30 = 6
2(18) - 30 = 6
36 - 30 = 6
6 = 6



Write an equation of the line that passes through (−4, −9) and is parallel to the line y=4x .

Answers

Answer:

y = 4x + 7

Step-by-step explanation:

parallel = same slope

y = 4x + b

plug in (-4, -9)

-9 = 4(-4) + b

-9 = -16 + b

b = 7

y = 4x + 7

Answer:

7=4x+7

Step-by-step explanation:

To do this you would just plug in (-4,-9) into the equation y=mx+b so we would get -9=4(-4)+b when you simplify you will get -9=-16+b so we would add 16 to both sides and we would get 7=b so we would know that the y intercept is 7 and we know that if a line is parallel to another line is just has a different b so for our equation we would get 7=4x+7

The quotient is33 3/4. What is the divisor? How do you know

Answers

Dividend if the number that you divide, divisor is the number that you divide dividend into, and quotient is the number that you get from dividing dividend into divisor. For example, in 12/3=4, 12 is the dividend, 3 is the divisor, and 4 is the quotient

243.875 to nearest tenth, hundredth, ten, and hundred.

Answers

Answer:

243.875 is 243.9 (rounded to nearest tenth)

243.875 is 243.88 (rounded to nearest hundredth)

243.875 is 240 (rounded to nearest tents)

243.875 is 200 (rounded to nearest hundred)

Step-by-step explanation:

To round a number, we look at the number next to the place value. If the number is more than  or equal to 5 then add 1 with the place value.

243.875 to nearest tenth, hundredth, ten, and hundred.

2 is in hundreds place

4 is in tens place

3 is in ones place

8 is in tenth place

7 is in hundredth place

5 is in thousandth place

243.875 is 243.9 (rounded to nearest tenth)

243.875 is 243.88 (rounded to nearest hundredth)

243.875 is 240 (rounded to nearest tents)

243.875 is 200 (rounded to nearest hundred)

243.875

Nearest Tenth:-   243.9

Hundredth:- 243.88

Ten:- 240

Hundred:- 200

Hope I helped:P

Subtract and simplify.
(-y2 – 4y - 8) – (-4y2 – 6y + 3)

Answers

Answer:

3y^2 +2y -11

Step-by-step explanation:

(-y^2 – 4y - 8) – (-4y^2 – 6y + 3)

Distribute the minus sign

(-y^2 – 4y - 8) +4y^2 + 6y - 3

Combine like terms

-y^2+4y^2 – 4y + 6y - 3-8

3y^2 +2y -11

Answer:

3y^2+2y-11

Step-by-step explanation:

I am guessing for -y2 and -4y2 you meant exponents; it would still get you the same answer though.

-y^2-4y-8 - (-4y2-6y+3)

1.Distribute; -y^2-4y-8 -1(-4y2*-1-6y*-1+3*-1)

you then get; -y^2+(-4y)+(-8) +4y^2+6y+-3

2.Combine like terms; 3y^2+2y-11

Then you get: 3y^2+2y-11.


the scale on a map is 1/4in : 18mi. The state capital is 252 miles from the border. How far is the state capital from the border on the map?

Answers

it is 3.5in 252/18 * .25=3.5