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what is the slope intercept form of m=2 with pints (5, -2)?

Update:

What is the standard form with the same given?

10 Answers

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  • ?
    Lv 7
    1 month ago

    You are given the slope of the line m=2 & a

    point (5,-2). So, it is sufficient to determine

    the equation of the line by the point-slope

    form:

    y-(-2)=2(x-5)

    =>

    y+2=2x-10

    =>

    y=2x-12

    The standard form is

    2x-y-12=0

  • 1 month ago

    line | through (5, -2)

    slope 2 | slope-intercept equation

    y = 2 x - 12

  • 1 month ago

    The typical equation of a line is: y = mx + y₀ → where m: slope and where y₀: y-intercept

    The slope of the line is: m = 2

    The equation of the line becomes: y = 2x + y₀

    The line passes through (5 ; - 2), so these coordinates verify the equation of the line.

    y = 2x + y₀

    y₀ = y - 2x → you substitute x and y by the coordinates of the point (5 ; - 2)

    y₀ = - 2 - (2 * 5)

    y₀ = - 12

    The equation of the line is: y = 2x - 12

  • 1 month ago

    slope intercept form: y = mx + c

    so y = 2x + c

    when x = 5 y = -2

    so -2 = 10 + c 

    ==> c = -12

    hence y = 2x - 12

    standard form: -2x + y = -12

    or...

    since for a line, the slope is constant:

    slope = rise /run

    so, from any point (x, y) to a given point like (5, -2)

    (y + 2)/(x - 5) = 2

    ==> y + 2 = 2x - 10

    ==> y = 2x - 12

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  • 1 month ago

    Well, calling your coordinates (x1, y1) 

    We can make use of the formula often written as follows:

    y-y1 = m(x-x1)

    Substitute in the givens:

    y-(-2)=2(x-5)

    y+2 = 2x-10  (Distributive property)

    y =2x-12       (Subtract 2 from both sides.)

    Slope =2, intercept = -12

  • 1 month ago

    y - (-2) = 2(x - 5)

    y + 2 = 2x - 10

    y = 2x - 12

  • 1 month ago

    y  - - 2 = 2(x - 5) 

    y + 2 = 2x - 10 

    y = 2x - 12 

    Slope ; m = 2 

    Intercept  ; c = -12 

  • 1 month ago

    y = mx + b

    -2 = 2(5) + b

    - 2 = 10 + b

    b = - 2 - 10

    b = - 12

    The slope intercept for is y = 2x - 12

    the standard form of the equation is 2x - y = 12...

  • 1 month ago

    We have an equation of the form y = mx + c

    so, -2 = 2(5) + c

    Then, c = -12

    Hence, y = 2x - 12....slope intercept form

    and y - 2x + 12 = 0...standard form

    :)>

  • Bryce
    Lv 7
    1 month ago

    y+2= 2(x - 5)

    y= 2x - 12

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