anonymous
  • anonymous
The ordered pairs below represent a linear relation between x and y. (-3,1),(-2,3),(-1,5),(0,7),(1,9),(2,11). Which of the following is a correct statement about this relation? A. The slope of the line represented by this table is 2 and the y-intercept is 7. B. The slope of the line represented by this table is 2 and the y-intercept is -4. C. The slope of the line represented by this table is -2 and the y-intercept is -4. D. The slope of the line represented by this table is -2 and the y-intercept is 7.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
what did you get
anonymous
  • anonymous
im not too sure. since there are so many ordered pairs, how would i find one slope of the line and one y-intercept? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
to find the slope, pick any pair of points you want and use the slope formula

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More answers

jim_thompson5910
  • jim_thompson5910
the y-intercept is the point of the form (0,y)
jim_thompson5910
  • jim_thompson5910
ie it's the point where the line crosses the y axis
anonymous
  • anonymous
okay well i picked (1,9) and got y=1x+9. is that correct? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
no that's not correct
anonymous
  • anonymous
what did i do wrong?
jim_thompson5910
  • jim_thompson5910
pick any two points, then use the slope formula to find the slope
anonymous
  • anonymous
if i went with (1,9) and (2,11) would I add the two slopes of y=x+9 and y=2x+11? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
those are equations, not slopes
jim_thompson5910
  • jim_thompson5910
the slope formula is m = (y2 - y1)/(x2 - x1)
jim_thompson5910
  • jim_thompson5910
you use this formula to get a numeric value (not an equation)
anonymous
  • anonymous
oh okay, so using points (1,9) and (2,11) I got 2/1 for the slope @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
good, or just 2
jim_thompson5910
  • jim_thompson5910
so the equation looks like y = 2x + b where b is the y-intercept
anonymous
  • anonymous
how do i figure out the y-intercept?
jim_thompson5910
  • jim_thompson5910
look for the point where the x coordinate is 0
jim_thompson5910
  • jim_thompson5910
or...you can plug in any point in for x and y then solve for b
anonymous
  • anonymous
if i wanted to solve it by plugging in an x and y could i pick any ordered pair or does it hae to be one of the ordered pairs ive already picked?
jim_thompson5910
  • jim_thompson5910
it can be any ordered pair since they all lie on the same line
anonymous
  • anonymous
okay i used (1,9) and i got: 7=b making it y=2x+7? @jim_thompson5910
anonymous
  • anonymous
oh, so it would be A correct? :D
jim_thompson5910
  • jim_thompson5910
you nailed it
anonymous
  • anonymous
woohoo! thank you @jim_thompson5910 you're so awesome!
jim_thompson5910
  • jim_thompson5910
you're welcome

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