Find the equations of line in y = mx + b form…a) Passes through the points (7, 9) and (2, -2)

Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)

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  1. [tex]y = - 0.5x + 5.5[/tex]

    Step-by-step explanation:

    finding the slope

    [tex]\frac{3 - 1}{5 - 15} = - \frac{1}{2}[/tex]

    m is the slope

    [tex]- 0.5x + b = y[/tex]

    we can get y from any point but that goes for x,too

    [tex]- 0.5(5) + b = 3 \\ b = 2.5 + 3 \\ b = 5.5[/tex]

    the equation is

    [tex]y = -0.5x + 5.5[/tex]

  2. y = 11/5x - 32/5

    Step-by-step explanation:

    y2 - y1 / x2 - x1

    -2 - 9 / 2 - 7

    -11 / -5

    = 11/5

    y = 11/5x + b

    -2 = 11/5(2) + b

    -2 = 22/5 + b

    -32/5 = b

  3. $450.00 for 6 weeks

    or

    $300

    step-by-step explanation:

    $200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

    $200 for first week

    $200 x 0.10 = $20

    $20 x 5 = $100

    $200 + $100 = $300

  4. y = 4x - 7

    Step-by-step explanation:

    Finding the slope:

    [tex]\frac{13+15}{5+2}=\frac{28}{7}=\boxed{4}[/tex]

    The slope is 4.

    Finding the y-intercept:

    [tex]y=4x+b\\\\13=4(5)+b\\\\13=20+b\\\\13-20=20-20+b\\\\\boxed{-7=b}[/tex]

    The equation is [tex]y=4x-7[/tex].

    Hope this helps.

  5. goog may have it for you

    [tex]Match each transformation or sequence of transformations to an equivalent transformation or sequence[/tex]

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