All categories

3 years ago

What is the y-intercept of the line that passes through the points (2,-1) and (-3,9)

Mathematics

1 answer:

krek1111 [17]3 years ago

4 0

Answer:

The equation of the straight line y = -2x +3

y-intercept = 3 and m =-2

Step-by-step explanation:

Step(i):-

Given that the points are ( 2,-1) and (-3,9)

The slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{9-(-1)}{-3-(2)} = \frac{10}{-5} = -2$

Step(ii):-

The equation of the straight line passing through the point ( 2,-1) and slope m=-2

y-y₁ = m( x- x₁)

y -(-1) = -2 ( x-2)

y +1 = -2x +4

2x +y +1-4 =0

2x +y -3 =0

Final answer:-

The equation of the straight line y = -2x +3

You might be interested in

Please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please slove it all pl

sdas [7]

Answer:

$\boxed{\mathrm{view \: explanation}}$

Step-by-step explanation:

a) elimination method

b) substitution method

c) substitution method

For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.

For the second part we can substitute y as 2x+5 in the second equation and solve for x.

For the third part we can substitute y as 4x+3 in the first equation and solve for x.

$\boxed{\mathrm{view \: attachment}}$

8 0

3 years ago

Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same

fiasKO [112]

Missing Part of the Question

3 (4 - y) -7 ; 5 + 3y

9 + y + 4y - 2 - 3y; -2y + 7

5 + y - 2 - 6y + y; 8y + 3

2y + 7 + y - 2 + y; 4y + 5

Answer:

2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation:

Given

y = 3

Required

Which pair of expression are equal

To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions

3 (4 - y) -7 and 5 + 3y

Substitute 3 for y in 3 (4 - y) -7

This gives 3(4 - 3) -7

= 3(1) - 7

= 3 - 7

= -4

Then Substitute 3 for y in 5 + 3y

This gives 5 + 3(3)

= 5 + 9

= 14

-4 and 14 are not equal

---------------------------------------------------------------------------------------

9 + y + 4y - 2 - 3y; -2y + 7

Substitute 3 for y in 9 + y + 4y - 2 - 3y

This gives 9 + 3 + 4(3) - 2 - 3(3)

= 9 + 3 + 12 - 2 - 9

= 13

Then Substitute 3 for y in -2y + 7

This gives -2(3) + 7

= -6 + 7

= 1

13 and 1 are not equal

---------------------------------------------------------------------------------------

5 + y - 2 - 6y + y; 8y + 3

Substitute 3 for y in 5 + y - 2 - 6y + y

This gives 5 + 3 - 2 - 6(3) + 3

= 5 + 3 - 2 - 18 + 3

= -9

Then Substitute 3 for y in 8y + 3

This gives 8(3) + 3

= 24 + 3

= 27

-9 and 27 are not equal

---------------------------------------------------------------------------------------

2y + 7 + y - 2 + y; 4y + 5

Substitute 3 for y in 2y + 7 + y - 2 + y

This gives 2(3) + 7 + 3 - 2 + 3

= 6 + 7 + 3 - 2 + 3

= 17

Then Substitute 3 for y in 4y + 5

This gives 4(3) + 5

= 12 + 5

= 17

17 and 17 are equal

Hence, Option D is correct

6 0

3 years ago

What is the domain and range of y=4x+4

Mnenie [13.5K]

The domain is all real numbers

7 0

3 years ago

Read 2 more answers

PLEASEE 7TH GRADE MATH

Andrews [41]

Answer:

so first question is b)8/5p=c, explanation in comments and your second question is 25%explanation in comments!! Have a good day and hope this helped!!

Step-by-step explanation:

7 0

3 years ago

The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.

cupoosta [38]

Answer:

2/5

Step-by-step explanation:

did the test

4 0

3 years ago