MATHEMATICS MIDDLE SCHOOL

What is the y-intercept of a line that has a slope of 1/4 and passes through point (8,3)?

Answers

Answer 1
Answer:

The slope-intercept form: y = mx + b

m - a slope

b - y-intercept

We have a slope m = 1/4. Substitute: y = 1/4 x + b

We know, the line passes through point (8, 3) → x = 8, y = 3.

Put the values of x and y to the equation of the line:

1/4 · 8 + b = 3

2 + b = 3 |-2

b = 1

Answer: y-intercept is (0, 1)
Answer 2
Answer:

The y-intercept of a line with a slope of 1/4 and which passes through point (8,3) is 1.

What is the y-intercept of the given line?

The equation of a line in slope in slope intercept form is expressed as:

y = mx + b

Where m is slope and b is the y-intercept.

Given the data in the question:

The line has a slope of 1/4 and passes through point (8,3).

x = 8, y = 3, m = 1/4

Plug the given values into the above formula and for the y-intercept 'b'.

y = mx + b

3 = (1/4 × 8 ) + b

Solve for b:

3 = 8/4 + b

3 = 2 + b

3 - 2 = 2 - 2 + b

1 = b

b = 1

Therefore, the y-intercept is 1.

Learn more about equation of line here: brainly.com/question/32136536

#SPJ4

Related Questions

Which of the following is NOT always true about a rhombus? (A) All sides are congruent. (B) All angles are congruent. (C) It has two pairs of parallel sides. (D)It has two pairs of congruent angles.
4 mi 1,389 yd - 4 mi 251 yd =
A soccer field is 345 feet long. What is the length of the field in yards?
Convert 3/11 to a decimal equivalent using long division
Translate each verbal description into an algebraic expression. Then simplify Five-ninths of (3p+1) subtracted from one-thirf of q+p

What is FOIL and PEMDAS?

Answers

FOIL and PEMDAS are both ways to solve mathematical equations.

FOIL
First
Outside
Inside
Last

PEMDAS
Parenthesis
Exponents
Multiplication &
Division
Addition &
Subtraction


FOIL is usually used to solve equations in two sets of parenthesis, for example:
(23+x)(5-4x)

PEMDAS is used to solve multiple-operation equations, such as:
5 x 4 + 6 - 2 x 7

Whew, hope this helped :D
Foil - prevent from succeeding
Pemdas - It is a method used my mathematics students to remember operations

132 is 80% of what number

Answers

165 is correct.
132 / 0.8 = 165
The answer is 165. Hope this helped :)

Marcie solved the following inequality, and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 −2x − 2 ≤ 6x + 22 −8x ≤ 24 x ≤ −3 What mistake did Marcie make in solving the inequality?

Answers

This is what she did:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)
−2x + 10 − 12 ≤ 4 + 6x + 18
−2x − 2 ≤ 6x + 22
−8x ≤ 24 x ≤ −3

The mistake is in the last step.
she divided by -8 and she didn't chage the sign of inequality.
When you multiply or divide by a negative number the sign of the inequality has to be changed.

The right step would show:
x ≥ -3

Write three examples of decimals that have a 4 in the tenths place

Answers

==> 0.45
==> 0.46
==> 0.47
They all are decimals having four in tenths place.
Tenth place is the place just after the decimal point.
.4, .44, .444
the first number right after the decimal is the tenths place

Find the coordinates of the vertices of the figure after the given transformation, translation: (x, y)→(x - 4, y + 4)A) J'(1, 0), N'(5, 0), M'(5, 3), P'(2, 5)
B) J'(-2, 5), N'(2, 5), M'(2, 2), P'(-1, 0)
C) J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)
D) J'(-1, 0), N'(-5, 0), M'(-5, -3), P'(-2, -5)

Answers

Answer:

Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Step-by-step explanation:

we know that

The rule of the translation is

(x,y) -----> (x-4,y+4)

That means ----> The translation is 4 units at left and 4 units up

Find out the coordinates of the pre-image

Observing the figure

J(1,0),N(5,0),M(5,-3),P(2,-5)

Find out the coordinates of the image

Applying the rule of the translation at the coordinates of pre-image

J(1,0) -----> J'(1-4,0+4)

J(1,0) -----> J'(-3,4)

N(5,0) ---> N'(5-4,0+4)

N(5,0) ---> N'(1,4)

M(5,-3)----> M'(5-4,-3+4)

M(5,-3)----> M'(1,1)

P(2,-5) ----> P'(2-4,-5+4)

P(2,-5) ----> P'(-2,-1)

therefore

The coordinates of the image (after the transformation) are

J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Answer:

option C

Step-by-step explanation:

Point J is (1,0), N is (5,0) , P is (2,-5), M is (5,-3)

translation: (x, y)→(x - 4, y + 4)

We do the translation of every point. Subtract 4 from x and add 4 with y.

J is (1,0) -> (1-4,0+4) -> (-3,4) J'

N is (5,0) -> (5-4,0+4) -> (1,4) N'

P is (2,-5) -> (2-4,-5+4) -> (-2,-1) P'

M is (5,-3) -> (5-4,-3+4) -> (1,1) M'

Option C is the correct answer

A bank approved 27 loan applications out of 150 applications in the month of September. What percentage of the loan applications were approved?

The bank approved [blank] −−−−−−% of all loan applications in September.

Answers

the percentage is 18%
Other Questions
Please help!!!!!!!!!!!!.
rachel uses grid paper to plan a mural to paint at her school. the design will be made of two connected rectangles. the larger rectangle will have an area between 35 square feet and 45 square feet. the smaller rectanglewill have an area between 10 square feet and 20 square feet. Draw and label a diagram to show what Rachel could plan. Explain how to find the total area.
When solving a system of equations, how do you determine which method to use?
Can someone help please? :)A storage tank holds 235,500 in3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers, each with a radius of 5 in. What is the height of the cylindrical containers? Use 3.14 to approximate pi.