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2 years ago

What is the equation of the following line? Be sure to scroll down first to see

Mathematics

1 answer:

topjm [15]2 years ago

8 0

Answer: (f)

Step-by-step explanation:

Given

Line that passes through $(-\frac{1}{2},3)$ and $(0,0)$

Using two point form, equation of a line is given by

$\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}$

Insert the values

$\Rightarrow \dfrac{y-0}{x-0}=\dfrac{3-0}{-\frac{1}{2}-0}\\\\\Rightarrow \dfrac{y}{x}=-6\\\\\Rightarrow y=-6x$

Thus, option (f) is correct

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Write an equation in slope - intercept form for the line that satisfies each set of conditions

ivanzaharov [21]

Answer:

see explanation

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 )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - $\frac{3}{2}$ x + $\frac{1}{2}$ ← in slope- intercept form

with slope m = - $\frac{3}{2}$

Parallel lines have equal slopes, thus

y = - $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - $\frac{3}{2}$ x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - $\frac{1}{2}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{1}{2}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{2} }$ = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 10 + c ⇒ c = - 2 - 10 = - 12

y = 2x - 12 ← equation of line

3 0

3 years ago

Read 2 more answers

The iPhone 6 costs $350 today. If it value depreciates at the rate of 30% per year when will it be

DIA [1.3K]

And its 6 600 and 202 and add 100 which means it will be 12 THATS your answer

5 0

2 years ago

The answer is not A or B

Nat2105 [25]

Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

$(2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = \frac{68}{17} \\ \\ x = 4$

4 0

3 years ago

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If you roll a standard six sided dice, what is the probability you will roll a four?

astra-53 [7]

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a dice. Every time you roll you you will have one of those sides. So it is a 1 in 6 chance of you getting 4, meaning that the answer to this problem is 1/6

7 0

3 years ago

Please help STRUGGLING with math few math questions! Ty

-BARSIC- [3]

Question 1:

F(x) and g(x) are like variables, just plug into the equation.

f(x) + g(x) = (x + 6) + (12x - 7)

x+6+12x-7 = 13x-1

Question 2: f(3) + g(-1)

You plug in the x-values into the equation, and then take the answer and add them together.

f(3) = 3+4

g(-1) = 12(-1)-6

f(3) = 7

g(-1) = -18

7 + (-18) = -11

Question 3:

This is similar to question 1, plug in the variables and simplify.

9x - (7x+3)

Remember to distribute the "-"

9x - 7x - 3

2x - 3

6 0

3 years ago

Read 2 more answers