A line passes through the point , (−4,4) and has a slope of −5/4. Write an equation in point-slope form for this line.

Question

A line passes through the point , (−4,4) and has a slope of −5/4. Write an equation in point-slope form for this line.

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Margaret 5 months 2021-12-26T09:45:06+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-12-26T09:46:15+00:00

    Answer:

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

    Step-by-step explanation:

    Slope form is y-y1=m(x-x1)

    X1and Y1 are a point on the line and M is the slope

    0
    2021-12-26T09:46:53+00:00

    Answer:

    y=-5/4x-1

    Step-by-step explanation:

    Since we have a point and the slope, we can use the point slope formula

    [tex]y-y_{1} =m(x-x_{1})[/tex]

    m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point

    We know the slope is -5/4.

    The point (-4,4) compared to (x,y): -4 is the x coordinate, and 4 is the y coordinate

    y-4=-5/4(x–4)

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

    Now, we need to solve for y, so we can get the equation in point slope form: y=mx+b

    Distribute the -5/4

    y-4= -5/4*x +4*-5/4

    y-4= -5/4x-5

    Add 4 to both sides

    y-4+4=-5/4x-5+4

    y= -5/4x-1

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