Maths-
General
Easy

Question

Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3

hintHint:

  • A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.

The correct answer is: y = -1/2x + 7


    • We have to write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of 𝑦 = 2𝑥 + 3.
    Step 1 of 1:
    We have to find a line passes through a point (4, 5) and perpendicular to a line 𝑦 = 2𝑥 + 3.
    Since product of two perpendicular lines is equal to -1.
    So,

     m cross times 2 equals negative 1

    m equals fraction numerator negative 1 over denominator 2 end fraction
    Therefore the equation of the line will be

     y minus 5 equals fraction numerator negative 1 over denominator 2 end fraction left parenthesis x minus 4 right parenthesis

    y equals fraction numerator negative 1 over denominator 2 end fraction x plus 7

    Related Questions to study

    General
    Maths-

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction

    Maths-General
    General
    Maths-

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1

    Maths-General
    General
    Maths-

    Write an equation of the line in slope-intercept form that passes through the point (-3, 5)  and is parallel to y equals negative 2 over 3 x
.

    Write an equation of the line in slope-intercept form that passes through the point (-3, 5)  and is parallel to y equals negative 2 over 3 x
.

    Maths-General
    parallel
    General
    Maths-

    What is the graph of f(x table attributes columnspacing 1em end attributes row cell 9 x squared minus 25 end cell row cell x squared minus 5 x minus 6 end cell end table

    What is the graph of f(x table attributes columnspacing 1em end attributes row cell 9 x squared minus 25 end cell row cell x squared minus 5 x minus 6 end cell end table

    Maths-General
    General
    General

    Direction : Fill in the blank with correct letter.
    J _ _ p

    Direction : Fill in the blank with correct letter.
    J _ _ p

    GeneralGeneral
    General
    English-One-to-One

    Direction : Identify the image and choose the correct word.

    Direction : Identify the image and choose the correct word.

    English-One-to-OneGeneral
    parallel
    General
    General

    Caroline loves reading history.
    Which word is the gerund in the above sentence?

    Caroline loves reading history.
    Which word is the gerund in the above sentence?

    GeneralGeneral
    General
    General

    Direction : Complete the following sentences by choosing suitable words:

    The ____________ had a small birthday party celebration.

    Direction : Complete the following sentences by choosing suitable words:

    The ____________ had a small birthday party celebration.

    GeneralGeneral
    General
    General

    Direction : Identify the root word’s meaning in Greek or Latin for the following word:
    Folio, Foliage

    Direction : Identify the root word’s meaning in Greek or Latin for the following word:
    Folio, Foliage

    GeneralGeneral
    parallel
    General
    General

    Direction : Identify the root word’s meaning in Greek or Latin for the following word:
    Autograph, Biography.

    Direction : Identify the root word’s meaning in Greek or Latin for the following word:
    Autograph, Biography.

    GeneralGeneral
    General
    Maths-

    Arrange the following in descending order :
    cube root of 17 comma space square root of 12 comma space cube root of 21 comma space square root of 18

    Arrange the following in descending order :
    cube root of 17 comma space square root of 12 comma space cube root of 21 comma space square root of 18

    Maths-General
    General
    Maths-

    Order the following from least to greatest :
    11 over 15 comma fraction numerator negative 5 over denominator 6 end fraction comma 3 over 4 comma fraction numerator negative 7 over denominator 9 end fraction

    Order the following from least to greatest :
    11 over 15 comma fraction numerator negative 5 over denominator 6 end fraction comma 3 over 4 comma fraction numerator negative 7 over denominator 9 end fraction

    Maths-General
    parallel
    General
    Maths-

    Simplify square root of 45 minus 3 square root of 20 plus 4 square root of 5

    Simplify square root of 45 minus 3 square root of 20 plus 4 square root of 5

    Maths-General
    General
    Maths-

    Simplify by combining similar terms: 
    2 cube root of 4 plus 7 cube root of 32 minus cube root of 500

    Simplify by combining similar terms: 
    2 cube root of 4 plus 7 cube root of 32 minus cube root of 500

    Maths-General
    General
    Maths-

    Arrange in ascending order of magnitude : 
    square root of 5 comma space cube root of 11 comma 2 times root index 6 of 3

    Arrange in ascending order of magnitude : 
    square root of 5 comma space cube root of 11 comma 2 times root index 6 of 3

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.