Mathematics, 06.07.2019 23:00 Arealbot

Four tysm if you are answering ! write an equation of the line passing through the given point that is parallel to the given line for the following: (i put a picture bc it’s easier for me and hopefully for you) you so so much

Answers: 1

Show answers

Answers

Answer from: NarutoBeast8049

17. Equation : y=-x-1

18: Equation: $y=\frac{1}{2}x+8$

19: Equation: y=3x-6

20: Equation: $y=\frac{1}{3}x-2$

Step-by-step explanation:

Using the Slope-Intercept Form for the following questions:

Equation of line: y=mx+b where m is the slope and b is the y-intercept.

17. A(3, -4), y=-x+8

First substitute the slope from the original line y=-x+8 (i.e. -1 in this case) into the equation of line.

y=(-1)x+b .....(1)

Now, substitute the given point A(3,-4) in the equation (1), we have;

$-4=(-1)\cdot (3)+b$

-4=-3+b

-4+3=b

∴ b=-1

Substitute the value of b=-1 in the Slope-Intercept form i.e, y=-x+(-1)

y=-x-1

Therefore, the equation of the line passing through the given point that is parallel to the given line is, y=-x-1 .

18. A(-6, 5) , $y=\frac{1}{2}x -7$

First substitute the slope from the original line $y=\frac{1}{2}x -7$ (i.e. $\frac{1}{2}$ in this case) into the equation of line.

$y=\frac{1}{2} x+b$ .....(1)

Now, substitute the given point A(-6, 5) in the equation (1), we have;

$5=\frac{1}{2} \cdot (-6)+b$

5=-3+b

5+3=b

∴ b=8

Substitute the value of b=8 in the Slope-Intercept form i.e, $y=\frac{1}{2}x+8$

$y=\frac{1}{2}x+8$

Therefore, the equation of the line passing through the given point that is parallel to the given line is, $y=\frac{1}{2}x+8$ .

19. A(2,0), y=3x-5

First substitute the slope from the original line y=3x-5 (i.e. 3 in this case) into the equation of line.

y=3x+b .....(1)

Now, substitute the given point A(2, 0) in the equation (1), we have;

$0=3\cdot (2)+b$

0=6+b

∴ b=-6

Substitute the value of b=-6 in the Slope-Intercept form i.e, y=3x+(-6)

y=3x-6

Therefore, the equation of the line passing through the given point that is parallel to the given line is, y=3x-6

20. A(3, -1), $y=\frac{1}{3}x+10$

First substitute the slope from the original line $y=\frac{1}{3}x +10$ (i.e. $\frac{1}{3}$ in this case) into the equation of line.

$y=\frac{1}{3} x+b$ .....(1)

Now, substitute the given point A(3, -1) in the equation (1), we have;

$-1=\frac{1}{3} \cdot (3)+b$

-1=1+b

-1-1=b

∴ b=-2

Substitute the value of b=-2 in the Slope-Intercept form i.e, $y=\frac{1}{3}x+(-2)$

$y=\frac{1}{3}x-2$

Therefore, the equation of the line passing through the given point that is parallel to the given line is, $y=\frac{1}{3}x-2$ .

Answer from: Quest

answer: options?

step-by-step explanation:

Answer from: Quest

answer: for each 3 girls there is 2 boys . 3: 2

hope this ! (: mark me as brainliest if you can

Another question on Mathematics

Mathematics, 21.06.2019 14:00

6.(q^9)^2 a. 2q^18 b. q^18 c. q^81 d.q^11 7.(6q^6)^-4 a. 6q^1296 b. 1296q^2 c. 1/1296q^24 d. 6q^-24 8. what is the value of 12x^-3 y^-1 for x = -1 and y = 5? a. -12/5 b.-10 c.-0 d.5/12

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Astore sells two types of radios. one type sells $87 and the other for $119. if 25 were sold and the sales were $2495, how many of the $87 radios were sold a) 5 b) 20 c) 15 d)10

Answers: 2

Answer

Mathematics, 21.06.2019 19:30

Nikolas calculated the volume of the prism. his work is shown below.

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

In dire need~! describe how to use area models to find the quotient 2/3 divided by 1/5. check your work by also finding the quotient 2/3 divided by 1/5 using numerical operations only.

Answers: 1

Answer

You know the right answer?

Four tysm if you are answering ! write an equation of the line passing through the given point t...

Questions