What is the equation in point-slope form for the line parallel to y= -2x + 10 that contains (6,8)?

What is the equation in point-slope form for the line parallel to y= -2x + 10 that contains (6,8)?

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  1. Hello mate!

    A linear equation has the form y = ax + b

    where x is the variable, a is the slope and b is the x-intercept.

    We want to find the pararel line to y = -2x + 10

    A paralel line of this, will be another line with the same slope ( -2 in this case) and a different x-intercept; then our line has the shape of:

    y = -2x + b

    and we know that this line pases through the point (6,8), and with this info we could find the value of b:

    8 = -2*6 + b

    b = 8 + 12 = 20

    then y = -2x + 20 is the pararel line that passes through the point (6.8)

    Then the correct answer is the option a:

    a) y - 8 = -2(x - 6) = -2x + 12

    y = -2x + 12 + 8 = -2x + 20

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