What is the y intercept of this line y+4=-4(x-2)Rewrite this equation in standard form
What is the x intercept of this line
What is the equation in standard form of a perpendicular line that passes through (5,1)
What is the x intercept of the perpendicular line
What is the equation in standard form of a parallel line that passes through(0,-2)
On the parallel line find the ordered pair where x=-2
Any help is greatly appreciated

Answers

Answer 1
Answer: y + 4 = -4 (x - 2)

Y - INTERCEPT:
y + 4 = -4 ((0) - 2)
y + 4 = -4 (-2)
y + 4 = 8
y = 4
(0, 4)

STANDARD FORM:
Ax + By = C
y + 4 = -4x + 8
4x + y + 4 = 8
4x + y = 4

X INTERCEPT:
(0) + 4 = -4 (x - 2)
4 = -4 (x - 2)
4 = -4x +8
-4 = -4x
x = 1
(1, 0)

PERPINDICULAR LINE:
y + (1) = (1/4) (x - (5))
y + 1 = 1/4x - 5/4
-1/4x + y + 1 = -5/4
-1/4x + y = -9/4
x - 4y = 9

X INTERCEPT OF PERPINDICULAR LINE:
x - 4(0) = 9
x - 0 = 9
x = 9
(9, 0)

PARALLEL LINE:
y + (-2) = -4 (x - (0))
y - 2 = -4x + 0
4x +  y - 2 = 0
4x + y = 2

ORDERED PAIR FOR PARALLEL LINE:
4(-2) + y = 2
-8 + y = 2
y = 10
(-2, 10)

Related Questions

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Which expression is equivalent to 5 x + 10 y minus 15?
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Mrs. Ramiriz is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30 for baking supplies. She plans to sell the pies for $12 each. Which equation can be used to find the number of pies she needs to sell to break even?a.5x – 12x = 30 b.5x + 12x = 30 c.5x + 30 = 12x d.12x + 30 = 5x

12 yd
8 yd
6 yd

What’s the area ?

Answers

Answer:

576 i believe!

Step-by-step explanation:

Solve the proportion (X+1)/(3) = (X)/(2)A).5
B).1
C).10
D).2

Answers

d.) 2 is the answer

i think

Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point could be the third vertex of the triangle?

Answers

The correct answer for the question that is being presented above is this one: "(4,1)."

The distance from (0,1) to (0,6) is 5 units.
The area of a triangle is 
Area = bh/2
10 = 5b/2
20 = 5b
b = 4

The distance of the base is 4 units. So, from (0,1) count 4 units to the right but on the same y coordinate. 

So the point is in (4, 1).

Explaining step by step the simplest form of the expression 9r(r+3)-2r(r-4)

Answers

For simplest form, the first thing you'll want to do is get rid of the parentheses:

9r(r + 3) - 2r(r - 4) = 9r^2 + 27r - 2r^2 + 8r 

Now we want to combine like terms:

9r^2 + 27r - 2r^2 + 8r = 7r^2 + 35r

What is the answer to 2/3x=-8?

Answers

Answer:x= -12

Step-by-step explanation:

Answer:12

Step-by-step explanation:

When Lisa and Tom has their first child, they put $7,500 into a savings account that earns 6% compound interest. If Lisa and Tom did not add or remove anything from the savings account, how much interest will they have earned after 4 years?

Answers

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $7500

r = 6% = 6/100 = 0.06

Assuming the interest was compounded annually, then

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 7500(1 + 0.06/1)^1 × 4

A = 7500(1.06)^4

A = $9468.6

The interest that they would have earned after 4 years is

9468.6 - 7500 = $1968.6