anonymous
  • anonymous
HELP PLEASE y = −x + 2 y = 3x + 1 Which description best describes the solution to the system of equations? Line y = −x + 2 intersects line y = 3x + 1. Lines y = −x + 2 and y = 3x + 1 intersect the x-axis. Lines y = −x + 2 and y = 3x + 1 intersect the y-axis. Line y = −x + 2 intersects the origin.
Mathematics
chestercat
  • chestercat
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Astrophysics
  • Astrophysics
Hey why don't you graph it?
Astrophysics
  • Astrophysics
|dw:1440143370187:dw| these are your x and y intercepts for your first equation connect the dots, also note that your equations are set up as y=mx+b format, which is equation of a line, where b is the y - intercept, and m is the slope. To solve for y - intercept (it's given +2) but you set x = 0 and solve for y To solve for x - intercept we set y = 0 and solve for x.
Astrophysics
  • Astrophysics
|dw:1440143797896:dw| This is y = -x+2, can you do the same with your second equation?

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MrNood
  • MrNood
any 2 lines that don't have the same slope will intersect somewhere (if they DO have the same slope than they are parallel) any equation that has an intercept =0 will pass through the origin - otherwise it will NOT any line that has a slope = 0 will NOT intercept the x axis any lint at has slope "infinity" (i.e. has the form x = constant) will NOTintercept the Y axis. So you do not need to graph the lines - just look at the equations and the above facts and deduce the answer.
Astrophysics
  • Astrophysics
Good points, but I think you should still try to graph it out, if you're not sure and it's good practice!

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