anonymous
  • anonymous
The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –4 5 0 2 Line 2 x y 0 5 4 2 A. 0 B. exactly 1 C. exactly 2 D. infinitely many
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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DanJS
  • DanJS
the slope of each is line 1 --- m = -3/4 line 2 --- m = -3/4 the two are parallel from that
DanJS
  • DanJS
but in the table for each , when x is zero, they have different y values, 2 parallel lines, they have no solutions
anonymous
  • anonymous
so a

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More answers

DanJS
  • DanJS
y = -3/4 x + 2 y = -3/4 x + 5
anonymous
  • anonymous
how about these Line 1 x y –4 8 4 6 Line 2 x y –1 1 3 5
anonymous
  • anonymous
@DanJS
DanJS
  • DanJS
can you put the equation for each of them together ?
anonymous
  • anonymous
what do u mean
DanJS
  • DanJS
you get 2 points on each line, what is the equation of each line?
anonymous
  • anonymous
I didnt understand this lesson at all
DanJS
  • DanJS
i think construction the equation for a line was before the lesson about determining how many solutions a system of 2 equations has
anonymous
  • anonymous
not for my k12 online school
DanJS
  • DanJS
given 2 points, calculate the slope, and use y - y1 = m*(x - x1) to make the line, (x1,y1) is any point you know on the line
anonymous
  • anonymous
im so confused but ill try
anonymous
  • anonymous
line one the slope is - 0.25 line 2 the slope is 1
anonymous
  • anonymous
@DanJS
DanJS
  • DanJS
k...
DanJS
  • DanJS
Line 1 slope = (6-8)/(4-(-4)) = -2/8 = -1/4 Line 2 Slope= (5-1) / (3 - (-1)) = 4/4 = 1
anonymous
  • anonymous
I think its b but im not quite sure
DanJS
  • DanJS
good, then use the slope and one of the points on the line, and make the point slope equation Line 1 y - y1 = m*( x- x1) y - 6 = (-1/4)*(x-4)
DanJS
  • DanJS
Line 2 y - 5 = 1 *(x-3)
DanJS
  • DanJS
what do we have to find again>?
DanJS
  • DanJS
oh yeah , how many solutions for the system
anonymous
  • anonymous
so b right???
DanJS
  • DanJS
a simple thing to notice, is the two lines have different slopes they must intersect then somewhere that is a solution
DanJS
  • DanJS
what is b)
anonymous
  • anonymous
so they would have one solution b
DanJS
  • DanJS
yeah , 2 lines with different slopes are not parallel, so they will cross eventually somewhere
anonymous
  • anonymous
the same answers as the last question sorry
DanJS
  • DanJS
2 lines will either --intersect at some point (x,y) and have one solution to the system --Be parallel and never intersect, no solutions for this case -- be the same line , one as just a multiple of the other, infinite solutions in this case

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