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I am in algebra 1-2 and i need help with....?

slope intercept form

he went over it twice in class but i couldnt hear because some of the older kids in the class were talking really really loud i couldnt hear my teacher

if you could explain this topic and solve these two problems i would really apperciate it

1) identify the x- and y-intercepts of this line

y=8x-1

2)find the equation of the line which passes through the given points

find the equation of the line which passes through the poionts (1,5) and (3,2)

thank you so much for helping

7 Answers

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  • Anonymous
    1 decade ago
    Favorite Answer

    You see, the equation for a line is y=mx + b

    m is the slope and b is the y-intercept.

    1) y-intercept is -1. idk about x-intercept

    2) First, you have to find the slope. (2-5)/ (3-1)= -3/2.

    Then you have to find the y-intercept. So plug in one of the points.

    5=-3/2 (1) +b

    5= -3/2 + b

    6.5=b

    The equation is y=-3/2x + 6.5

  • 1 decade ago

    The graphical concept of x- and y-intercepts is pretty simple. The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis. The problems start when we try to deal with intercepts algebraically.

    To clarify the algebraic part, think again about the axes. When you were first introduced to the Cartesian plane, you were shown the regular number line from elementary school (the x-axis), and then shown how you could draw a perpendicular number line (the y-axis) through the zero point on the first number line. So the y-axis is really the line "x = 0". In the same way, the x-axis is really the line "y = 0".

    Then, algebraically,

    an x-intercept is a point on the graph where y is zero, and

    a y-intercept is a point on the graph where x is zero.

    More specifically,

    an x-intercept is a point in the equation where the y-value is zero, and

    a y-intercept is a point in the equation where the x-value is zero.

  • 1 decade ago

    1) y int. where line crosses on y axis. easier to find when x is replaced by 0

    y=8(0)-1

    y= -1

    to find x plug in the answer for y

    -1= 8x-1

    +1 +1

    0=8x x=0

    x and y intercepts ( 0,-1)

    2) find the slope of the line

    m=y1-y2/x1-x2

    m=5-2/1-3 = -3/2

    y=mx+b

    5=-3/2(1)+b

    5=-3/2+b

    +3/2 +3/2

    b= 13/2

    equation= y =-3/2x+13/2

    to check the answer plug in the points

    hope this helps

  • 1 decade ago

    1. the x intercept occurs when y=0 so it is when 0-8x-1 which becomes 1=8x which means x=1/8

    the y intercept occurs when x=0 so it is y=8(0)-1 which becomes y=-1

    2.) to do this problem, first you have to find the slope of the line with the equation m= (y2-y1)/(x2-x1) which is equal to (5-2)/(1-3) which is equal to -3/2--this is your slope

    then you plug your slope and either of your points into the equation

    y-y1=m(x-x1) which become y-5=-3/2(x-1) which can be simplified to y-5=-3/2x+3/2 which can become y=-3/2x+13/2

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  • 1 decade ago

    1.) It''s actually pretty simple. Just assume the value for your y and x is ZERO

    if y = 0,

    y= mx + b

    0 = 8x - 1

    8x = 1

    thus x intercept = 1/8

    if x= 0

    y= mx + b

    y = 8(0) - 1

    y intercept = 1

    2.) Solve first for the slope, m

    m = (y2-y1) / (x2-x1)

    m = (5-2) / (1-3)

    m = -3/2

    equation of the line is y = mx + b

    You already have m, you just need b.

    To solve for b, use one of the given two points, and I use (1,5). Substitute in your equation:

    y = mx + b

    5 = (-3/2)(1) + b

    b = 5 + 3/2

    b = 13/2

    The final equation is:

    y = -3x/2 + 13/2

  • 1 decade ago

    okay, so slope-intercept form is a line in the form of

    y=mx+b

    m is slope

    b is y-intercept

    Therefore, for question 1, the y-intercept is -1.

    Then, to solve for the x-intercept, set y equal to zero and solve

    That is,

    0=8x-1

    1=8x

    x=1/8

    Question 2:

    the slope can be found by this equation:

    m= (y2-y1)/(x2-x1)

    = (2-5)/(3-1)

    = -3/2

    Then to find the y-intercept, you can use point-slope form:

    y-y1= m(x-x1)

    y= m(x-x1)+y1

    = (-3/2) (x-1) + 5

    for this step, i used 1 as x1 and 5 as y1 (as stated in the problem (1,5))

    = (-3/2)x + (13/2)

  • 4 years ago

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