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3 years ago

What is the equation of the line that passes through point (4, 12) and has a y- intercept of -2?

Mathematics

1 answer:

Elan Coil [88]3 years ago

5 0

Answer:

y = (7/2)x - 2

Step-by-step explanation:

Use slope-intercept formula for linear equations y = mx + b

x and y show what points are on the line. We know (4, 12). x= 4 and y = 12

b is the y-intercept, which b = -2.

m is the slope.

To write the equation, you need the slope and y-intercept. Find the slope by putting x, y and b into the formula.

y = mx + b

12 = 4m - 2

14 = 4m

14/4 = m

m = 7/2

Put "m" into the formula with "b"

y = (7/2)x - 2

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Answer:

$\boxed{\bold{7\sqrt{5}}}$

Step By Step Explanation:

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$\bold{0}$

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Simplify $\bold{7\sqrt{5}-0}$

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3 years ago

julie grows apples. the first year she planted 6 seeds. the second year she planted 18 seeds. the third year she planted 54 seed

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3 years ago

Angles α and β are the two acute angles in a right triangle, where α = 5x 3 + 20 and β = 2x 3 + 14. Find α.

Tom [10]

The acute angles of a right triangle are complementary, so
α + β = 90
(5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7

Then the value of α is ...
α = 5*24/3 +20 = 60

7 0

3 years ago

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Rebecca is three years younger than twice Anthony's age. Write an expression that represents the relationship of Rebecca's age i

Andrei [34K]

Answer:

X=2y-3

Step-by-step explanation:

Let Rebecca's age be x

Let Anthony's age be y

Twice Anthony =2y

Rebecca's age (x) to be 3 years younger than twice Anthony's =2y-3

So, it's x=2y-3

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3 years ago

Zachary can spend no more than $98 per day to rent a car. A car rents for $42 per day plus $0.20 per mile. What is the maximu

Alexxandr [17]

Total Cost= $0.20x+$42.00
Total Cost= $98.00
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Divide both sides by $0.20
x=280 miles

Zachary could drive a maximum of 280 miles per day that he rents the car. </span>

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3 years ago

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