A line passes through the point (8,-5) and has a slope of 5/4. Write an equation in slope intercept form for this line.

Question

A line passes through the point (8,-5) and has a slope of 5/4. Write an equation in slope intercept form for this line.

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RobertKer 3 years 2021-07-16T00:24:21+00:00 2 Answers 38 views 0

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    0
    2021-07-16T00:25:32+00:00

    Answer:

    y = 5/4x-15

    Step-by-step explanation:

    The slope intercept form of a line is

    y = mx+b where m is the slope and b is the y intercept

    y = 5/4x+b

    Substitute the point into the equation and solve for b

    -5 = 5/4(8)+b

    -5 = 10+b

    Subtract 10 from each side

    -5-10 = b

    -15 = b

    y = 5/4x-15

    0
    2021-07-16T00:25:42+00:00

    Step-by-step explanation:

    y-y’=m(x-x’)

    y-(-5)=5/4(x-8)

    y+5=5x/4-10

    4(y+5)=4(5x/4)-10(4)

    4y+20=5x-40

    4y-5x=-40-20

    4y-5x=-60

    5x-4y-60=0

    y=5x/4-15

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