Marianebon18idn
Answered

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graph the function in given cartesian plane
1. y-3x=7
2. 2x+4y=8
3. -x+y=5
4. y+5=-2x
5. 3x+2y-4=0​

Sagot :

Aenahidn

Please view the attached images for the graphs of the given functions. The images are in order from #1 to #5.

1. [tex]y-3x=7[/tex]

  • Find the intercepts.

[tex]y-3x=7\ \ \ ...\rm{Find\ the\ x-intercept.}\\0-3x=7\\ \boxed{x=-\frac{7}{3}}\\\\y-3x=7\ \ \ ...Find\ the\ y-intercept.\\y-3(0)=7\\y-0=7\\\boxed{y=7}[/tex]

2. [tex]2x+4y=8[/tex]

  • Find the intercepts.

[tex]2x+4y=8\\2x+4(0)=8\\2x+0=8\\2x=8\\x=\frac{8}{2}\\\boxed{x=4}\ \ \ ... \rm{x-intercept}\\\\\2x+4y=8\\2(0)+4y=8\\4y=8\\y=\frac{8}{4}\\\boxed{y=2}\ \ \ ...y-intercept[/tex]

3. [tex]-x+y=5[/tex]

  • Find the intercepts.

[tex]-x+y=5\\-x+0=5\\-x=5\\\boxed{x=-5}\ \ \ ...\rm{x-intercept}\\\\-x+y=5\\-0+y=5\\\boxed{y=5}\ \ \ ...y-intercept[/tex]

4. [tex]y+5=-2x[/tex]

  • Find the intercepts.

[tex]y+5=-2x\\y+5=-2(0)\\y+5=0\\\boxed{y=-5}\ \ \ ... \rm{y-intercept}\\\\y+5=-2x\\0+5=-2x\\2x=-5\\\boxed{x=-\frac{5}{2}}\ \ \ ... \rm{x-intercept}[/tex]

5. [tex]3x+2y-4=0[/tex]

  • Find the intercepts.

[tex]3x+2y-4=0\\3x+2(0)-4=0\\3x+0-4=0\\3x-4=0\\3x=4\\\boxed{x=\frac{4}{3}}\ \ \ ... \rm{x-intercept}\\\\3x+2y-4=0\\3(0)+2y-4=0\\0+2y-4=0\\2y=4\\\boxed{y=2}\ \ \ ...y-intercept[/tex]

[tex]\boxed{\bold{\tt{NOTE:}}}[/tex] You can plot a graph in many ways:

  • Use the slope-intercept form
  • Find the x and y-intercepts. These points will help you determine in what parts of the x-axis and y-axis the function intersects.
  • Construct a table of values.

[tex]\yellow{\overbrace{\tt{} \underbrace{{Happy\ learning!}\:}}}[/tex]

#CarryOnLearning

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