All categories

2 years ago

Write the equation of the line parallel to y=-2/3x+4 and through the point (–3, 15)

Mathematics

2 answers:

MrRa [10]2 years ago

6 0

Parallel = same slope
y = -2/3x + b
Plug in point
15 = -2/3(-3) + b
15 = 2 + b, b = 13
Solution: y = -2/3x + 13

sukhopar [10]2 years ago

4 0

Answer:

y=-2/3x+17

Step-by-step explanation:

y=-2/3x+4

slope of that line is -2/3

y-y1=m(x-x1)

(-3,15)

y-15=-2/3(x-(-3))

y-15=-2/3x+2

y=-2/3x+17

You might be interested in

Which of the following are solutions to the following equation?

Alecsey [184]

Answer:

x=-7

x=7

Step-by-step explanation:

we have

$2x^{2}-98=0$

Solve for x

Adds 98 both sides

$2x^{2}-98+98=0+98$

$2x^{2}=98$

Divide by 2 both sides

$2x^{2}/2=98/2$

$x^{2}=49$

take square root both sides

$x=\pm7$

therefore

The solutions are

x=-7

x=7

8 0

3 years ago

How does 3/4 and 9/12are alike and different?

polet [3.4K]

3/4 and 9/12 are alike because they are both the same value. They are different because 3/4 is simplified while 9/12 is not.

6 0

2 years ago

A soccer team sold raffle tickets to raise money for the upcoming season. They sold three different types of tickets: premium fo

lesya692 [45]

Answer:

45 premium tickets were sold

Step-by-step explanation:

p = premium

d = deluxe

r = regular

p+d+r = 273

6p+4d + 2r = 836

118+d = r

Replace r with 118+d

p+d+118+d = 273

p +2d = 273-118

p+2d = 155

6p+4d + 2(118+d) = 836

6p+4d + 236+2d = 836

6p +6d = 836-236

6p + 6d = 600

Divide by 6

p+d = 100

d = 100-p

Replace d in p +2d= 155

p +2(100-p) = 155

p+200-2p = 155

-p = 155-200

-p =-45

p =45

45 premium tickets were sold

3 0

3 years ago

Read 2 more answers

OKAYYYY LAST QUESTION BEFORE MY LAPTOP DIES

Free_Kalibri [48]

Answer: D

Two sides are equal all angles smaller than. Right angle makes them acute

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?

Nadya [2.5K]

x-intercepts are found by setting y=0
$y=2x^2-8x-10\rightarrow0=2x^2-8x-10$
factor out a 2 $0=2(x^2-4x-5)\rightarrow0=x^2-4x-5$
 $0=(x-5)(x+1)$ roots should be x=-1,5
therefore, x-intercepts are (-1,0) and (5,0)

y-intercepts are found by setting x=0
$y=2x^2-8x-10\rightarrow y=2(0)^2-8(0)-10$
$\rightarrow y=0-0-10=-10$
therefore, y-intercept is (0,-10)

4 0

3 years ago