Algebra 2 help ASAP please?

I really need help on this one question i can't seem to figure out.

Which is the equation of the line that passes through (10, 6) and (5, 3)?

(Points : 3)

Option A: y= 1/5x + 3

Option B: y= -3/5x + 6

Option C: y= -1/5x + 4

Option D: y= 1/5x + 2

Comments

  • First, find the slope between the points

    m = (y2 - y1) / (x2 - x1) = (3 - 6) / (5 - 10) = -3/-5 = 3/5

    Right off the bat, we can see that none of the choices are correct. Let's go ahead and figure out the formula for the line anyway

    y - k = m * (x - h)

    (h , k) is a point that the line passes through

    y - 6 = (3/5) * (x - 10)

    5y - 30 = 3x - 30

    5y = 3x

    y = (3/5) * x

  • Which is the equation of the line that passes through (10, 6) and (5, 3)?

    Slope of the line (m) = (6 - 3)/(10 - 5) = 3/5

    Equation of line is y = (3/5)x + c

    Substitute either set of coordinate points to determine c

    6 = (3/5)*10 + c

    c = 0

    Equation is: y = (3/5)x or 5y = 3x

    Answer: none of the above

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