Write an equation of the line with the given information. use slope-intercept form or point slope form.

Write an equation of the line with the given information. use slope-intercept form or point slope form. the final answer must be in slope intercept form y=mx+b. show work


[tex]Write an equation of the line with the given information. use slope-intercept form or point slope fo[/tex]

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  1. Y=mx+b, where m is the slope and b is the y-intercept.

    m=(y2-y1)/(x2-x1)=(4-8)/(-3-3)-4/-6=2/3 so

    y=2x/3 + b, using either point, we can solve for the y-intercept...using (3,8)

    8=2(3)/3 + b

    8=2+b

    b=6 so the line is:

    y=2x/3 + 6 or more neatly

    y=(2x+18)/3

  2. y = 6

    Step-by-step explanation:

    Find the y intercept (b) by plugging in (x,y) and m into y = mx + b

    6 = 0 (-2) + b

    6 = b

    The equation will be  y = 0x + 6 OR y = 6

  3. 9. [tex]y=3x-3[/tex]

    10. [tex]y=8x+b[/tex]

    Step-by-step explanation:

    For question 9.

    The given information is [tex]m=3, b=-3[/tex]

    The equation of a line is written as.

    [tex]y=mx+b[/tex]-----------(1)

    Where m is the slope of the line and b is the y intercept.

    Put the m and b value in equation 1.

    [tex]y=3x-3[/tex]

    So, the equation of the line is [tex]y=3x-3[/tex]

    For question 10.

    Given:

    [tex]m = 8[/tex]

    The equation of a line is written as.

    [tex]y=mx+b[/tex]-----------(1)

    Where m is the slope of the line and b is the y intercept.

    Put the m value in equation 1.

    [tex]y=8x+b[/tex]

    So, the equation of the line is [tex]y=8x+b[/tex].

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