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3 years ago

A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Slope = y2-y1/x2-x1

(2,-4) = (x1,y1)

(4,2) = (x2,y2)

Slope = (2+4)/(4-2)

= 6/2

= 3

Y=mx+b [Plugging (4,2) into this]

2 = 3×4 +b

2 = 12 + b

b = -10

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Sean is driving to visit his friend in another state.In the first hour he travels 1/5 of the total distance. In the second hour

lozanna [386]

Answer:

They live 285 miles apart

Step-by-step explanation:

Let the total distance be x miles

Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means

Total distance driven in the first and second hour is

(x/5 + 34)miles

He still has 194 miles more to go.

Therefore,

The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.

x = x/5 + 34 + 194

x = x/5 + 228

Cross multiplying

5x = x + 1140

4x = 1140

x = 1140/4 = 285 miles

7 0

3 years ago

Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be abo

vlabodo [156]

160/140 = x/56
cross multiply
(140)(x) = (160)(56)
140x = 8960
x = 8960/140
x = 64 lbs <== Vince's weight on the other planet

5 0

3 years ago

Read 2 more answers

Help Review of linear pair vertical and complementary

Lera25 [3.4K]

Answer:

x = 15

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

3+6x + 5x+12 = 180

Combine like terms

11x+15 = 180

Subtract 15 from each side

11x+15-15 =180-15

11x = 165

Divide by 11

11x/11 =165/11

x =15

7 0

3 years ago

Suppose you deposit $1000 in a college fund that pays paid interest quarterly instead of annually. Find the account balance afte

BartSMP [9]

Answer:

$1,161.18 (assuming if interest rate is 3%)

Step-by-step explanation:

Kindly check the attached picture for explanation

3 0

3 years ago

¿cual es el perimetro total de un paralelogramo obicuo cuya base mide 2∛54x² cm , y cuyo lado oblicuo mide 3∛54x²?

Step2247 [10]

Answer:

$p=10\sqrt[3]{54}x^2$

Step-by-step explanation:

We are given parallelogram

Since, two opposite sides of any parallelogram are always equal

Let's assume first side =a

second side =b

so, we get

$a=2\sqrt[3]{54}x^2$

$b=3\sqrt[3]{54}x^2$

now, we can find perimeter

perimeter=2a+2b

so, we get

$p=2(2\sqrt[3]{54}x^2)+2(3\sqrt[3]{54}x^2)$

we can simplify it

$p=4\sqrt[3]{54}x^2+6\sqrt[3]{54}x^2$

$p=10\sqrt[3]{54}x^2$ ................Answer

6 0

3 years ago

Read 2 more answers