Mathematics

Question

Complete the equation of the line through (-8,-2) and (-4,6). Use exact numbers.

Y=

2 Answer

  • Answer:

    y = 2x + 14

    Step-by-step explanation:

    First, you have to find the slope by using

    [tex] \frac{y2 - y1}{x2 - x1} [/tex]

    In other words,

    [tex] \frac{ - 2 - 6}{ - 8 + 4} [/tex]

    The slope is 2.

    Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

    [tex]y - y1 = m(x - x1)[/tex]

    Remember that m is the slope.

    [tex]y + 2 = 2(x + 8)[/tex]

    Distribute the slope to the parenthesis

    [tex]y + 2 = 2x + 16[/tex]

    Isolate the y variable

    [tex]y = 2x + 14[/tex]

  • Answer: y=2x+14

    Step-by-step explanation:

    Yes

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