Write the equation in slope-intercept form for each line based on the information given. The line has a slope of -1 and goes through t

Question

Write the equation in slope-intercept form for each line based on the information given.
The line has a slope of -1 and goes through the point (2,4).

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Minh Khuê 4 years 2021-08-23T03:12:09+00:00 1 Answers 10 views 0

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  1. Adela
    0
    2021-08-23T03:13:56+00:00
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    Answer:

    y = -1x + 6 or y = -x + 6

    Step-by-step explanation:

    First, let’s identify what slope-intercept form is.

    y = mx + b

    m is the slope. b is the y-intercept.

    We know the slope is -1, so m = -1. Plug this into our standard equation.

    y = -1x + b

    To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation.

    4 = -1(2) + b

    To find b, multiply the slope and the input of x(2)

    4 = -2 + b

    Now, add 2 from both sides to isolate b.

    6 = b

    Plug this into your standard equation.

    y = -1x + 6

    This is your equation.

    Check this by plugging in the point again.

    y = -1x + 6

    4 = -1(2) + 6

    4 = -2 + 6

    4 = 4

    Your equation is correct.

    Hope this helps!

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