Write the slope-intercept form (y=mx+b) of the equation of the line through the given points. through: (0,3)(−4,5)

Question

Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.

through:
(0,3)(−4,5)

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Kim Cúc 4 years 2021-08-26T20:28:39+00:00 2 Answers 5 views 0

Answers ( )

  1. Dau
    0
    2021-08-26T20:30:22+00:00
    Reply

    Answer:

    y=-\frac{1}{2}+3

    Step-by-step explanation:

    To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)

    m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }

    =\frac{5-3}{-4-0}

    =2/-4

    =-\frac{1}{2}

    next, calculate b by substituting a point (0, 3) into the equation

    y=mx+b

    3=(-1/2)(0)+b

    b=3

    final equation of line is: y=-\frac{1}{2}+3

  2. thuhuong
    0
    2021-08-26T20:30:22+00:00
    Reply

    Step-by-step explanation:

    General line equation: y = mx + c

    When x = 0, y = 3. => (3) = m(0) + c, c = 3.

    When x = -4, y = 5. => (5) = m(-4) + c,

    5 = -4m + (3), -4m = 2, m = -0.5.

    Hence the answer is y = -0.5x + 3.

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