The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = 1/4(x – 8). What iS the slope-i

Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = 1/4(x – 8). What
iS the slope-intercept form of the equation for this line?
O y = 1/4x- 12
O y= 1/4x-4
O y= 1/4x+2
O y= 1/4x+6

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Ngọc Hoa 5 months 2021-08-27T06:29:38+00:00 1 Answers 12 views 0

Answers ( )

    0
    2021-08-27T06:30:53+00:00

    Answer:

    3rd option

    Step-by-step explanation:

    The equation of a line in point slope form is

    y – b = m(x – a)

    where m is the slope and (a, b ) a point on the line

    Given

    y – 4 = \frac{1}{4} (x – 8)

    with m = \frac{1}{4} and (a, b) = (8, 4 )

    The equation of a line in slope- intercept form is

    y = mx + c ( m is the slope and c the y- intercept ) , then

    y = \frac{1}{4} x + c ← is the partial equation

    To find c substitute (8, 4) into the partial equation

    4 = 2 + c ⇒ c = 4 – 2 = 2

    y = \frac{1}{4} x + 2 ← equation in slope- intercept form

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