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nata0808 [166]
2 years ago
5

Consider the line y=-4/7x+4.

Mathematics
1 answer:
Wittaler [7]2 years ago
7 0

Answer:

1). y = -4/7x         2). y = 7/4x - 65/4

Step-by-step explanation:

1). When a line is parallel, the slope remains the same.

y = -4/7x + b

-4 = -4/7(7) + b

-4 = -4 + b

0 = b

The equation is simply y = -4/7x.

2). When a line is perpendicular, the slope becomes the exact opposite.

y = 7/4x + b

-4 = 7/4(7) + b

-4 = 49/4 + b

-65/4 = b

The equation is y = 7/4x - 65/4.

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7 0
1 year ago
If 2x – 10y = -1 and 5x + 6y = 4 are true equations, what would be the value<br> of 7x - 4y?
Zigmanuir [339]

Answer:

Step-by-step explanation:

If the equations are true, they can be solved simultaneously.

Consider 2x-10y=-1 as Eq1 and 5x+6y=4 as Eq2

Multiplying Eq1 with 3 and Eq2 with 5 we get,

6x-30y=-3 -- Eq3 and 25x+30y=20 -- Eq4

Adding Eq3 and Eq4,

31x=17 Therefore, x=17/31

Plugin x=17/31 in Eq3,

6(17/31)-30y=-3 --- y=13/62

Plug In values of x and y in 7x-4y we get,

7(17/31)-4(13/62) = 3

So the value of 7x-4y = 3.

8 0
2 years ago
(y+3)=2(x-4) Find a point on the line
Jobisdone [24]
If the equation is arranged in point-slope form we get:
y = 2x - 11.
The y-intercept is at (0, -11).
Therefore a point on the line is (0, -11).
8 0
2 years ago
Write equation of the line containing (6,3) and (4,1) Group of answer choices y = -1x + 5 y = 1x - 3 y = 1x + 5 y = -1x + 3
Natalka [10]

Answer:

y = x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (6, 3) and (x₂, y₂ ) = (4, 1)

m = \frac{1-3}{4-6} = \frac{-2}{-2} = 1 , then

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1 )

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = x - 3 ← equation of line

5 0
3 years ago
Which could be the dimensions of a rectangular prier whose surface area is less than 180 square feet? Select two options,
nadezda [96]

Answer:

8 feet by 3 feet by 7 feet

7 feet by 6 feet by 4 feet

Step-by-step explanation:

8 × 3 × 7 = 168

7 × 6 × 4 = 168

5 0
3 years ago
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