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3 years ago

A line has a slope of 9 and a y-intercept of 5.What is its equation in slope-intercept form

Mathematics

1 answer:

salantis [7]3 years ago

8 0

Answer:

y=9x+5

Step-by-step explanation:

y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

Given that m (the slope) = 9 and b (the y-intercept) = 5, we can substitute directly into the equation and get this answer:

y=9x+5

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Can someone plz help me with this!

asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

$2x+y=10\\x-3y=-2$

To solve, start by isolating your first equation for y.

$2x+y=10\\y=-2x+10$

Now, plug this value of y into your second equation.

$x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4$

System #2: x=1

$x+2y=5\\2x+y=4$

Isolate your second equation for y.

$2x+y=4\\y=-2x+4$

Plug this value of y into your first equation.

$x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1$

System #3: x=6

$5x+y=33\\x=18-4y$

Isolate your first equation for y.

$5x+y=33\\y=-5x+33$

Plug this value of y into your second equation.

$x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6$

System #4: all real numbers (not included in your diagram)

$y=13-2x\\8x+4y=52$

Plug your value of y into your second equation.

$8x+4(13-2x)=52\\8x+52-8x=52\\0=0$

<em>all real numbers are solutions</em>

System #5: x=2

$x+3y=5\\6x-y=11$

Isolate your second equation for y.

$6x-y=11\\-y=-6x+11\\y=6x-11$

Plug in your value of y to your first equation.

$x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2$

System #6: no solution (not included in your diagram)

$2x+y=10\\-6x-3y=-2$

Isolate your first equation for y.

$2x+y=10\\y=-2x+10$

Plug your value of y into your second equation.

$-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2$

<em>no solution</em>

System #7: x=3

$y=10+x\\2x+3y=45$

Plug your value of y into your second equation.

$2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3$

3 0

2 years ago

Find the measure of angle 1

kaheart [24]

Answer:

112*

Step-by-step explanation:

( 360 - 46 - 90 ) ÷ 2 = 112

8 0

2 years ago

A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold

Margaret [11]

Answer:

0.02

Step-by-step explanation:

5/69.12=0.0723

3/69.12=0.0434

0.0723-0.0434=0.0289

=0.02

5 0

2 years ago

I need help with this question. Can you please help me. I’ll give you 18 points if it’s correct

lukranit [14]

Answer:

34.4

Step-by-step explanation:

Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.

$\frac{MN}{NO}$ = $\frac{PQ}{QR}$

$\frac{14}{11}$ = $\frac{PQ}{27}$

Cross multiply

14(27) = 11(PQ)

378 = 11(PQ)

$\frac{378}{11}$ = PQ

PQ = 34.4

7 0

2 years ago

Help please! Explain

arlik [135]

Answer:

answer is the first one or the 3rd one

Step-by-step explanation:

hope this helped :b

6 0

2 years ago