Find the equation of the line passing through the points (5, 2) and (10, 6). y = Xt

Question

Find the equation of the line
passing through the points (5, 2)
and (10, 6).
y =
Xt

in progress 0
Minh Khuê 5 years 2021-08-22T11:08:18+00:00 1 Answers 58 views 0

Answers ( )

  1. thienthanh
    0
    2021-08-22T11:09:26+00:00
    Reply

    Answer:

    y=4/5x-2

    Step-by-step explanation:

    here are the given points: (5,2) and (10,6)

    First, let’s find the slope, which is found with the equation (y2-y1)/(x2-x1)

    so let’s label the points

    x1=5

    y1=2

    x2=10

    y2=6

    now we can substitute into the equation

    m=(6-2)/(10-5)

    subtract

    m=4/5

    so that means the slope is 4/5

    Now, let’s use point slope form, which is y-y1=m(x-x1) (m is the slope)

    so let’s substitute the numbers we know from earlier into the equation

    y-2=4/5(x-5)

    do distributive prop.

    y-2=4/5x-4

    add 2 to both sides

    y=4/5x-2

    hope this helps!

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