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2 years ago

What is the equation of the line that passes through the point (-3, -1) and has a slope of -4 ?

Mathematics

1 answer:

AnnZ [28]2 years ago

8 0

Answer:

y = - 4x - 13

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 )

Here m = - 4, thus

y = - 4x ++ c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 12 + c ⇒ c = - 1 - 12 = - 13

y = - 4x - 13 ← equation of line

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Eliza graphed a function representing the arithmetic sequence {−5,5,15,25,35}. She then connected the points to make a line.

Elan Coil [88]

Answer:

Well we are adding by 10 for every 1 increase in x. So slope is 10 / 1 = 10. (1. a slope of 10) is an answer.

We want x = 1 to have y = -5 Slope form is y=mx+b. We know m = 10 bec slope is 10. We have the point (1,-5) on the graph so we solve for b by plugging:

-5 = 10(1) + b and this is b = -15. So graph has function y = 10x-15.

b is the y-intercept so (3. a y-intercept at (0,−15)) is an answer.

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3 years ago

Evaluate the following expression:<br> 3 + 2(4 + 7)

Romashka [77]

Answer:

Step-by-step explanation:

Let's simplify this, while still doing it.

3 + 2(4 + 7)

3 + 2(11)

3 + 22

25.

the answer is 25!!

5 0

3 years ago

Read 2 more answers

What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8

KengaRu [80]

Answer:

Formula for the Arc length is given by:

$\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}$

As per the statement:

radius of circle(r) = 6 units

Angle ( $\theta$ ) = $\frac{7 \pi}{8}$ radian

Use conversion:

$1 rad = \frac{180}{\pi}$

$\frac{7 \pi}{8}$ = $\frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}$

then;

substitute these given values we have;

Use value of $\pi = 3.14$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375$

Simplify:

$\text{Arc length}=16.485$

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0

3 years ago

X - 5 > -10. give the solution

expeople1 [14]

X > -10 + 5
bring the five to the other side of the equation and change the sign in front
x > -5

5 0

2 years ago

Read 2 more answers

What is the linear function equation that best fits the data set?

slavikrds [6]

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

y = 2x - 2

Therefore, Option 3 will be the correct option.

8 0

3 years ago