1. Write the equation of a line in slope-intercept form that has a slope of -1/4 and passes through the point (8, -1). 2.

Question

1. Write the equation of a line in slope-intercept form that has a slope of -1/4 and passes through the point (8, -1).

2. Write the equation of a line in point-slope form that has a slope of -1 and passes through the point (-2, 5).

These are my last 2 questions thank you everyone for all the help!!

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Luna 4 days 2021-10-10T21:31:16+00:00 1 Answer 0

Answers ( )

    0
    2021-10-10T21:32:33+00:00

    Answer:

    see explanation

    Step-by-step explanation:

    1

    The equation of a line in slope- intercept form is

    y = mx + c ( m is the slope and c the y- intercept )

    here m = – \frac{1}{4}, hence

    y = – \frac{1}{4} x + c ← is the partial equation

    To find c substitute (8, – 1) into the partial equation

    – 1 = – 2 + c ⇒ c = – 1 + 2 = 1

    y = – \frac{1}{4} x + 1 ← in slope- intercept form

    2

    The equation of a line in point- slope form is

    y – b = m(x – a)

    where m is the slope and (a, b) a point on the line

    here m = – 1 and (a, b) = (- 2, 5), hence

    y – 5 = – (x – (- 2)), that is

    y – 5 = – (x + 2)

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