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2 years ago

Write an equation for a line to pass through the point (2,3) and has a slope of -4

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

6 0

Answer:

y = -4x + 11

Step-by-step explanation:

Equation of a line is

y - y_1 = m ( x - x _1)

We are provided

Slope = m = -4

Points = (x _1 , y_1) = (2, 3)

Insert the values

y - y_1 = m( x - x_1)

y - 3 = -4(x - 2)

Open the bracket with -4

y - 3 = -4x + 8

y - 3 -8 = -4x

y - 11 = -4x

Following this equation of a line

y = mx + C

y - intercept point y

m - slope

x - intercept point x

C - intercept of the line

y - 11 = -4x

y = -4x + 11

Therefore, the equation of the line is

y = -4x + 11

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Please help me with this one!!

Tema [17]

Answer:

$21 in^{2}$

Step-by-step explanation:

The square in the middle has a length and width of 3, so multiply. 9.

All of the triangles have a base of 3 and a height of 2. The area equation for triangles is

$A=bh\frac{1}{2}$

So base*height is 6. Divide that by 2 or multiply by 1/2.

You get 3. There are 4 triangles, so multiply that by 4. 12.

Add 12 and 9 together, and you get:

$21 in^{2}$

I hope this helps!

6 0

2 years ago

Question 1

Alexxandr [17]

Answer:

No, it is NOT a function.

Step-by-step explanation:

A functions' inputs are assigned to exactly one output.

We are given the points:

{(8,2) (4,-3) (6,4) (8,1)}

The input of 8 is repeating.

The given relation is not a function.

Hope this helps!

5 0

2 years ago

What is the area of a rectangle that is 1 1 4 1 4 1 1, start fraction, 1, divided by, 4, end fraction meters long and 3 4 4 3

hjlf

Answer:

4 11/16 m²

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

From the question:

Length = 1 1/4 m

Width = 3 3/4m

Area of the rectangle =

1 1/4 m × 3 3/4 m

= 5/4 m × 15/4 m

= 75/16 m²

= 4 11/16 m²

Area of the rectangle = 4 11/16 m²

7 0

2 years ago

What is the solution to the system of equations?

natka813 [3]

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions. y₁ is a linear function, but y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

3 0

3 years ago

In a jar of coins, 18 out of the 40 coins are dimes. Express the fraction of the coins

Step2247 [10]

Answer:

Percent: 20%

Fraction: 1/5

Decimal: 0.20

Step-by-step explanation:

8:40*100 =

( 8*100):40 =

800:40 = 20%

Percent to fraction:

20%=20/100

= 0.2

=0.2×10/10

=2/10

=1/5

Percent to decimal:

20/100 = 0.20

8 0

3 years ago